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Finding the Fourth Proportional to 25,624.23, 38,423.04 and 9,824.59

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Solution

The fourth proportional to 25,624.23, 38,423.04 and 9,824.59 is: 14,731.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,624.23 : 38,423.04 = 9,824.59 : x
  2. Step 2: Convert to fraction form
    25,624.23/38,423.04 = 9,824.59/x
  3. Step 3: Cross multiply
    25,624.23x = 38,423.04 × 9,824.59
  4. Step 4: Simplify right side
    25,624.23x = 377,490,614.55
  5. Step 5: Solve for x
    x = 377,490,614.55/25,624.23
  6. Step 6: Final answer
    x = 14,731.78

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