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Finding the Fourth Proportional to 24,856.20, 37,222 and 14,854.80

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Solution

The fourth proportional to 24,856.20, 37,222 and 14,854.80 is: 22,244.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,856.20 : 37,222 = 14,854.80 : x
  2. Step 2: Convert to fraction form
    24,856.20/37,222 = 14,854.80/x
  3. Step 3: Cross multiply
    24,856.20x = 37,222 × 14,854.80
  4. Step 4: Simplify right side
    24,856.20x = 552,925,365.60
  5. Step 5: Solve for x
    x = 552,925,365.60/24,856.20
  6. Step 6: Final answer
    x = 22,244.97

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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.