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Finding the Fourth Proportional to 24,251.30, 36,385.81 and 10,214.84

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Solution

The fourth proportional to 24,251.30, 36,385.81 and 10,214.84 is: 15,326.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,251.30 : 36,385.81 = 10,214.84 : x
  2. Step 2: Convert to fraction form
    24,251.30/36,385.81 = 10,214.84/x
  3. Step 3: Cross multiply
    24,251.30x = 36,385.81 × 10,214.84
  4. Step 4: Simplify right side
    24,251.30x = 371,675,292.85
  5. Step 5: Solve for x
    x = 371,675,292.85/24,251.30
  6. Step 6: Final answer
    x = 15,326.00

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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.