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Finding the Fourth Proportional to 24,118.50, 36,193.14 and 10,267.50

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Solution

The fourth proportional to 24,118.50, 36,193.14 and 10,267.50 is: 15,407.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,118.50 : 36,193.14 = 10,267.50 : x
  2. Step 2: Convert to fraction form
    24,118.50/36,193.14 = 10,267.50/x
  3. Step 3: Cross multiply
    24,118.50x = 36,193.14 × 10,267.50
  4. Step 4: Simplify right side
    24,118.50x = 371,613,064.95
  5. Step 5: Solve for x
    x = 371,613,064.95/24,118.50
  6. Step 6: Final answer
    x = 15,407.80

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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.