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Finding the Fourth Proportional to 24,596.70, 36,895.05 and 9,807.90

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Solution

The fourth proportional to 24,596.70, 36,895.05 and 9,807.90 is: 14,711.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,596.70 : 36,895.05 = 9,807.90 : x
  2. Step 2: Convert to fraction form
    24,596.70/36,895.05 = 9,807.90/x
  3. Step 3: Cross multiply
    24,596.70x = 36,895.05 × 9,807.90
  4. Step 4: Simplify right side
    24,596.70x = 361,862,960.90
  5. Step 5: Solve for x
    x = 361,862,960.90/24,596.70
  6. Step 6: Final answer
    x = 14,711.85

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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.