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Finding the Fourth Proportional to 15,288.73, 21,089.49 and 9,614.50

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Solution

The fourth proportional to 15,288.73, 21,089.49 and 9,614.50 is: 13,262.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,288.73 : 21,089.49 = 9,614.50 : x
  2. Step 2: Convert to fraction form
    15,288.73/21,089.49 = 9,614.50/x
  3. Step 3: Cross multiply
    15,288.73x = 21,089.49 × 9,614.50
  4. Step 4: Simplify right side
    15,288.73x = 202,764,901.61
  5. Step 5: Solve for x
    x = 202,764,901.61/15,288.73
  6. Step 6: Final answer
    x = 13,262.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.