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Finding the Fourth Proportional to 24,151.78, 36,220.65 and 9,357.40

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Solution

The fourth proportional to 24,151.78, 36,220.65 and 9,357.40 is: 14,033.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,151.78 : 36,220.65 = 9,357.40 : x
  2. Step 2: Convert to fraction form
    24,151.78/36,220.65 = 9,357.40/x
  3. Step 3: Cross multiply
    24,151.78x = 36,220.65 × 9,357.40
  4. Step 4: Simplify right side
    24,151.78x = 338,931,110.31
  5. Step 5: Solve for x
    x = 338,931,110.31/24,151.78
  6. Step 6: Final answer
    x = 14,033.38

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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.