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Finding the Fourth Proportional to 24,273.50, 36,388.58 and 9,478.96

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Solution

The fourth proportional to 24,273.50, 36,388.58 and 9,478.96 is: 14,209.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,273.50 : 36,388.58 = 9,478.96 : x
  2. Step 2: Convert to fraction form
    24,273.50/36,388.58 = 9,478.96/x
  3. Step 3: Cross multiply
    24,273.50x = 36,388.58 × 9,478.96
  4. Step 4: Simplify right side
    24,273.50x = 344,925,894.28
  5. Step 5: Solve for x
    x = 344,925,894.28/24,273.50
  6. Step 6: Final answer
    x = 14,209.98

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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.