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Finding the Fourth Proportional to 24,508.62, 36,733.77 and 14,098.50

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Solution

The fourth proportional to 24,508.62, 36,733.77 and 14,098.50 is: 21,130.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,508.62 : 36,733.77 = 14,098.50 : x
  2. Step 2: Convert to fraction form
    24,508.62/36,733.77 = 14,098.50/x
  3. Step 3: Cross multiply
    24,508.62x = 36,733.77 × 14,098.50
  4. Step 4: Simplify right side
    24,508.62x = 517,891,056.35
  5. Step 5: Solve for x
    x = 517,891,056.35/24,508.62
  6. Step 6: Final answer
    x = 21,130.98

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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.