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Finding the Fourth Proportional to 15,654.91, 21,606 and 9,688.50

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Solution

The fourth proportional to 15,654.91, 21,606 and 9,688.50 is: 13,371.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,654.91 : 21,606 = 9,688.50 : x
  2. Step 2: Convert to fraction form
    15,654.91/21,606 = 9,688.50/x
  3. Step 3: Cross multiply
    15,654.91x = 21,606 × 9,688.50
  4. Step 4: Simplify right side
    15,654.91x = 209,329,731
  5. Step 5: Solve for x
    x = 209,329,731/15,654.91
  6. Step 6: Final answer
    x = 13,371.51

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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.