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Finding the Fourth Proportional to 15,645.31, 23,452.17 and 9,806.02

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Solution

The fourth proportional to 15,645.31, 23,452.17 and 9,806.02 is: 14,699.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,645.31 : 23,452.17 = 9,806.02 : x
  2. Step 2: Convert to fraction form
    15,645.31/23,452.17 = 9,806.02/x
  3. Step 3: Cross multiply
    15,645.31x = 23,452.17 × 9,806.02
  4. Step 4: Simplify right side
    15,645.31x = 229,972,448.06
  5. Step 5: Solve for x
    x = 229,972,448.06/15,645.31
  6. Step 6: Final answer
    x = 14,699.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.