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Finding the Fourth Proportional to 24,478.60, 36,699.90 and 7,829.02

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Solution

The fourth proportional to 24,478.60, 36,699.90 and 7,829.02 is: 11,737.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,478.60 : 36,699.90 = 7,829.02 : x
  2. Step 2: Convert to fraction form
    24,478.60/36,699.90 = 7,829.02/x
  3. Step 3: Cross multiply
    24,478.60x = 36,699.90 × 7,829.02
  4. Step 4: Simplify right side
    24,478.60x = 287,324,251.10
  5. Step 5: Solve for x
    x = 287,324,251.10/24,478.60
  6. Step 6: Final answer
    x = 11,737.77

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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.