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Finding the Fourth Proportional to 24,151.50, 36,226.52 and 9,919.48

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Solution

The fourth proportional to 24,151.50, 36,226.52 and 9,919.48 is: 14,878.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,151.50 : 36,226.52 = 9,919.48 : x
  2. Step 2: Convert to fraction form
    24,151.50/36,226.52 = 9,919.48/x
  3. Step 3: Cross multiply
    24,151.50x = 36,226.52 × 9,919.48
  4. Step 4: Simplify right side
    24,151.50x = 359,348,124.11
  5. Step 5: Solve for x
    x = 359,348,124.11/24,151.50
  6. Step 6: Final answer
    x = 14,878.92

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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.