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Finding the Fourth Proportional to 24,438.57, 36,659.91 and 7,800.96

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Solution

The fourth proportional to 24,438.57, 36,659.91 and 7,800.96 is: 11,702.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,438.57 : 36,659.91 = 7,800.96 : x
  2. Step 2: Convert to fraction form
    24,438.57/36,659.91 = 7,800.96/x
  3. Step 3: Cross multiply
    24,438.57x = 36,659.91 × 7,800.96
  4. Step 4: Simplify right side
    24,438.57x = 285,982,491.51
  5. Step 5: Solve for x
    x = 285,982,491.51/24,438.57
  6. Step 6: Final answer
    x = 11,702.10

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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.