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Finding the Fourth Proportional to 16,551.14, 22,839.48 and 9,837.38

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Solution

The fourth proportional to 16,551.14, 22,839.48 and 9,837.38 is: 13,574.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,551.14 : 22,839.48 = 9,837.38 : x
  2. Step 2: Convert to fraction form
    16,551.14/22,839.48 = 9,837.38/x
  3. Step 3: Cross multiply
    16,551.14x = 22,839.48 × 9,837.38
  4. Step 4: Simplify right side
    16,551.14x = 224,680,643.76
  5. Step 5: Solve for x
    x = 224,680,643.76/16,551.14
  6. Step 6: Final answer
    x = 13,574.93

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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.