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Finding the Fourth Proportional to 16,549.14, 22,836.72 and 9,835.38

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Solution

The fourth proportional to 16,549.14, 22,836.72 and 9,835.38 is: 13,572.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,549.14 : 22,836.72 = 9,835.38 : x
  2. Step 2: Convert to fraction form
    16,549.14/22,836.72 = 9,835.38/x
  3. Step 3: Cross multiply
    16,549.14x = 22,836.72 × 9,835.38
  4. Step 4: Simplify right side
    16,549.14x = 224,607,819.15
  5. Step 5: Solve for x
    x = 224,607,819.15/16,549.14
  6. Step 6: Final answer
    x = 13,572.17

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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.