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Finding the Fourth Proportional to 24,345.68, 36,519.86 and 6,816.87

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Solution

The fourth proportional to 24,345.68, 36,519.86 and 6,816.87 is: 10,225.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,345.68 : 36,519.86 = 6,816.87 : x
  2. Step 2: Convert to fraction form
    24,345.68/36,519.86 = 6,816.87/x
  3. Step 3: Cross multiply
    24,345.68x = 36,519.86 × 6,816.87
  4. Step 4: Simplify right side
    24,345.68x = 248,951,155.08
  5. Step 5: Solve for x
    x = 248,951,155.08/24,345.68
  6. Step 6: Final answer
    x = 10,225.68

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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.