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Finding the Fourth Proportional to 24,543.56, 36,824.04 and 10,497.68

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Solution

The fourth proportional to 24,543.56, 36,824.04 and 10,497.68 is: 15,750.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,543.56 : 36,824.04 = 10,497.68 : x
  2. Step 2: Convert to fraction form
    24,543.56/36,824.04 = 10,497.68/x
  3. Step 3: Cross multiply
    24,543.56x = 36,824.04 × 10,497.68
  4. Step 4: Simplify right side
    24,543.56x = 386,566,988.23
  5. Step 5: Solve for x
    x = 386,566,988.23/24,543.56
  6. Step 6: Final answer
    x = 15,750.24

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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.