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Finding the Fourth Proportional to 24,219.25, 36,314.02 and 9,410.88

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Solution

The fourth proportional to 24,219.25, 36,314.02 and 9,410.88 is: 14,110.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,219.25 : 36,314.02 = 9,410.88 : x
  2. Step 2: Convert to fraction form
    24,219.25/36,314.02 = 9,410.88/x
  3. Step 3: Cross multiply
    24,219.25x = 36,314.02 × 9,410.88
  4. Step 4: Simplify right side
    24,219.25x = 341,747,032.48
  5. Step 5: Solve for x
    x = 341,747,032.48/24,219.25
  6. Step 6: Final answer
    x = 14,110.55

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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.