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Finding the Fourth Proportional to 24,305.92, 36,461.93 and 9,512.93

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Solution

The fourth proportional to 24,305.92, 36,461.93 and 9,512.93 is: 14,270.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,305.92 : 36,461.93 = 9,512.93 : x
  2. Step 2: Convert to fraction form
    24,305.92/36,461.93 = 9,512.93/x
  3. Step 3: Cross multiply
    24,305.92x = 36,461.93 × 9,512.93
  4. Step 4: Simplify right side
    24,305.92x = 346,859,787.75
  5. Step 5: Solve for x
    x = 346,859,787.75/24,305.92
  6. Step 6: Final answer
    x = 14,270.59

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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.