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Finding the Fourth Proportional to 24,592.80, 36,884.40 and 7,948.80

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Solution

The fourth proportional to 24,592.80, 36,884.40 and 7,948.80 is: 11,921.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,592.80 : 36,884.40 = 7,948.80 : x
  2. Step 2: Convert to fraction form
    24,592.80/36,884.40 = 7,948.80/x
  3. Step 3: Cross multiply
    24,592.80x = 36,884.40 × 7,948.80
  4. Step 4: Simplify right side
    24,592.80x = 293,186,718.72
  5. Step 5: Solve for x
    x = 293,186,718.72/24,592.80
  6. Step 6: Final answer
    x = 11,921.65

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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.