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Finding the Fourth Proportional to 24,312.89, 36,454.73 and 9,504.17

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Solution

The fourth proportional to 24,312.89, 36,454.73 and 9,504.17 is: 14,250.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,312.89 : 36,454.73 = 9,504.17 : x
  2. Step 2: Convert to fraction form
    24,312.89/36,454.73 = 9,504.17/x
  3. Step 3: Cross multiply
    24,312.89x = 36,454.73 × 9,504.17
  4. Step 4: Simplify right side
    24,312.89x = 346,471,721.43
  5. Step 5: Solve for x
    x = 346,471,721.43/24,312.89
  6. Step 6: Final answer
    x = 14,250.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.