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Finding the Fourth Proportional to 24,761.50, 37,191.83 and 14,785.74

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Solution

The fourth proportional to 24,761.50, 37,191.83 and 14,785.74 is: 22,208.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,761.50 : 37,191.83 = 14,785.74 : x
  2. Step 2: Convert to fraction form
    24,761.50/37,191.83 = 14,785.74/x
  3. Step 3: Cross multiply
    24,761.50x = 37,191.83 × 14,785.74
  4. Step 4: Simplify right side
    24,761.50x = 549,908,654.58
  5. Step 5: Solve for x
    x = 549,908,654.58/24,761.50
  6. Step 6: Final answer
    x = 22,208.21

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Why These Related Problems?

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