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Finding the Fourth Proportional to 12,407.68, 17,102.69 and 9,714.36

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Solution

The fourth proportional to 12,407.68, 17,102.69 and 9,714.36 is: 13,390.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,407.68 : 17,102.69 = 9,714.36 : x
  2. Step 2: Convert to fraction form
    12,407.68/17,102.69 = 9,714.36/x
  3. Step 3: Cross multiply
    12,407.68x = 17,102.69 × 9,714.36
  4. Step 4: Simplify right side
    12,407.68x = 166,141,794.26
  5. Step 5: Solve for x
    x = 166,141,794.26/12,407.68
  6. Step 6: Final answer
    x = 13,390.24

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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.