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Finding the Fourth Proportional to 25,355.34, 38,038 and 8,711.34

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Solution

The fourth proportional to 25,355.34, 38,038 and 8,711.34 is: 13,068.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,355.34 : 38,038 = 8,711.34 : x
  2. Step 2: Convert to fraction form
    25,355.34/38,038 = 8,711.34/x
  3. Step 3: Cross multiply
    25,355.34x = 38,038 × 8,711.34
  4. Step 4: Simplify right side
    25,355.34x = 331,361,950.92
  5. Step 5: Solve for x
    x = 331,361,950.92/25,355.34
  6. Step 6: Final answer
    x = 13,068.72

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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.