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Finding the Fourth Proportional to 24,517.65, 36,781.92 and 6,987.63

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Solution

The fourth proportional to 24,517.65, 36,781.92 and 6,987.63 is: 10,483.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,517.65 : 36,781.92 = 6,987.63 : x
  2. Step 2: Convert to fraction form
    24,517.65/36,781.92 = 6,987.63/x
  3. Step 3: Cross multiply
    24,517.65x = 36,781.92 × 6,987.63
  4. Step 4: Simplify right side
    24,517.65x = 257,018,447.65
  5. Step 5: Solve for x
    x = 257,018,447.65/24,517.65
  6. Step 6: Final answer
    x = 10,483.00

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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.