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Finding the Fourth Proportional to 24,494.70, 36,742.05 and 14,097.90

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Solution

The fourth proportional to 24,494.70, 36,742.05 and 14,097.90 is: 21,146.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,494.70 : 36,742.05 = 14,097.90 : x
  2. Step 2: Convert to fraction form
    24,494.70/36,742.05 = 14,097.90/x
  3. Step 3: Cross multiply
    24,494.70x = 36,742.05 × 14,097.90
  4. Step 4: Simplify right side
    24,494.70x = 517,985,746.70
  5. Step 5: Solve for x
    x = 517,985,746.70/24,494.70
  6. Step 6: Final answer
    x = 21,146.85

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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.