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Finding the Fourth Proportional to 38,833.60, 58,251.60 and 12,541

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Solution

The fourth proportional to 38,833.60, 58,251.60 and 12,541 is: 18,811.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,833.60 : 58,251.60 = 12,541 : x
  2. Step 2: Convert to fraction form
    38,833.60/58,251.60 = 12,541/x
  3. Step 3: Cross multiply
    38,833.60x = 58,251.60 × 12,541
  4. Step 4: Simplify right side
    38,833.60x = 730,533,315.60
  5. Step 5: Solve for x
    x = 730,533,315.60/38,833.60
  6. Step 6: Final answer
    x = 18,811.89

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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.