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Finding the Fourth Proportional to 12,646.35, 17,448.19 and 8,166.01

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Solution

The fourth proportional to 12,646.35, 17,448.19 and 8,166.01 is: 11,266.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,646.35 : 17,448.19 = 8,166.01 : x
  2. Step 2: Convert to fraction form
    12,646.35/17,448.19 = 8,166.01/x
  3. Step 3: Cross multiply
    12,646.35x = 17,448.19 × 8,166.01
  4. Step 4: Simplify right side
    12,646.35x = 142,482,094.02
  5. Step 5: Solve for x
    x = 142,482,094.02/12,646.35
  6. Step 6: Final answer
    x = 11,266.66

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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.