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Finding the Fourth Proportional to 15,683.31, 21,652.92 and 9,718.47

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Solution

The fourth proportional to 15,683.31, 21,652.92 and 9,718.47 is: 13,417.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,683.31 : 21,652.92 = 9,718.47 : x
  2. Step 2: Convert to fraction form
    15,683.31/21,652.92 = 9,718.47/x
  3. Step 3: Cross multiply
    15,683.31x = 21,652.92 × 9,718.47
  4. Step 4: Simplify right side
    15,683.31x = 210,433,253.43
  5. Step 5: Solve for x
    x = 210,433,253.43/15,683.31
  6. Step 6: Final answer
    x = 13,417.66

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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.