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Finding the Fourth Proportional to 24,865.32, 37,292.58 and 8,221.38

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Solution

The fourth proportional to 24,865.32, 37,292.58 and 8,221.38 is: 12,330.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,865.32 : 37,292.58 = 8,221.38 : x
  2. Step 2: Convert to fraction form
    24,865.32/37,292.58 = 8,221.38/x
  3. Step 3: Cross multiply
    24,865.32x = 37,292.58 × 8,221.38
  4. Step 4: Simplify right side
    24,865.32x = 306,596,471.36
  5. Step 5: Solve for x
    x = 306,596,471.36/24,865.32
  6. Step 6: Final answer
    x = 12,330.28

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