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Finding the Fourth Proportional to 25,624.85, 38,414.50 and 13,784.98

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Solution

The fourth proportional to 25,624.85, 38,414.50 and 13,784.98 is: 20,665.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,624.85 : 38,414.50 = 13,784.98 : x
  2. Step 2: Convert to fraction form
    25,624.85/38,414.50 = 13,784.98/x
  3. Step 3: Cross multiply
    25,624.85x = 38,414.50 × 13,784.98
  4. Step 4: Simplify right side
    25,624.85x = 529,543,045.29
  5. Step 5: Solve for x
    x = 529,543,045.29/25,624.85
  6. Step 6: Final answer
    x = 20,665.22

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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.