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Finding the Fourth Proportional to 38,909.84, 58,374 and 12,614.60

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Solution

The fourth proportional to 38,909.84, 58,374 and 12,614.60 is: 18,924.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,909.84 : 58,374 = 12,614.60 : x
  2. Step 2: Convert to fraction form
    38,909.84/58,374 = 12,614.60/x
  3. Step 3: Cross multiply
    38,909.84x = 58,374 × 12,614.60
  4. Step 4: Simplify right side
    38,909.84x = 736,364,660.40
  5. Step 5: Solve for x
    x = 736,364,660.40/38,909.84
  6. Step 6: Final answer
    x = 18,924.90

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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.