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Finding the Fourth Proportional to 15,689.09, 21,652.10 and 9,721.92

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Solution

The fourth proportional to 15,689.09, 21,652.10 and 9,721.92 is: 13,416.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,689.09 : 21,652.10 = 9,721.92 : x
  2. Step 2: Convert to fraction form
    15,689.09/21,652.10 = 9,721.92/x
  3. Step 3: Cross multiply
    15,689.09x = 21,652.10 × 9,721.92
  4. Step 4: Simplify right side
    15,689.09x = 210,499,935.42
  5. Step 5: Solve for x
    x = 210,499,935.42/15,689.09
  6. Step 6: Final answer
    x = 13,416.97

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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.