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Finding the Fourth Proportional to 24,522.54, 36,751 and 8,925.42

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Solution

The fourth proportional to 24,522.54, 36,751 and 8,925.42 is: 13,376.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,522.54 : 36,751 = 8,925.42 : x
  2. Step 2: Convert to fraction form
    24,522.54/36,751 = 8,925.42/x
  3. Step 3: Cross multiply
    24,522.54x = 36,751 × 8,925.42
  4. Step 4: Simplify right side
    24,522.54x = 328,018,110.42
  5. Step 5: Solve for x
    x = 328,018,110.42/24,522.54
  6. Step 6: Final answer
    x = 13,376.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.