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Finding the Fourth Proportional to 18,497.76, 25,522.92 and 10,537.80

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Solution

The fourth proportional to 18,497.76, 25,522.92 and 10,537.80 is: 14,539.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,497.76 : 25,522.92 = 10,537.80 : x
  2. Step 2: Convert to fraction form
    18,497.76/25,522.92 = 10,537.80/x
  3. Step 3: Cross multiply
    18,497.76x = 25,522.92 × 10,537.80
  4. Step 4: Simplify right side
    18,497.76x = 268,955,426.38
  5. Step 5: Solve for x
    x = 268,955,426.38/18,497.76
  6. Step 6: Final answer
    x = 14,539.89

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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.