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Finding the Fourth Proportional to 12,982,646.16, 17,910,019.08 and 8,400,448.08

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Solution

The fourth proportional to 12,982,646.16, 17,910,019.08 and 8,400,448.08 is: 11,588,714.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,982,646.16 : 17,910,019.08 = 8,400,448.08 : x
  2. Step 2: Convert to fraction form
    12,982,646.16/17,910,019.08 = 8,400,448.08/x
  3. Step 3: Cross multiply
    12,982,646.16x = 17,910,019.08 × 8,400,448.08
  4. Step 4: Simplify right side
    12,982,646.16x = 150,452,185,393,349.34
  5. Step 5: Solve for x
    x = 150,452,185,393,349.34/12,982,646.16
  6. Step 6: Final answer
    x = 11,588,714.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.