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Finding the Fourth Proportional to 16,564.16, 22,866 and 10,901.88

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Solution

The fourth proportional to 16,564.16, 22,866 and 10,901.88 is: 15,049.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,564.16 : 22,866 = 10,901.88 : x
  2. Step 2: Convert to fraction form
    16,564.16/22,866 = 10,901.88/x
  3. Step 3: Cross multiply
    16,564.16x = 22,866 × 10,901.88
  4. Step 4: Simplify right side
    16,564.16x = 249,282,273.75
  5. Step 5: Solve for x
    x = 249,282,273.75/16,564.16
  6. Step 6: Final answer
    x = 15,049.50

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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.