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Finding the Fourth Proportional to 24,189.64, 36,280.28 and 6,655.32

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Solution

The fourth proportional to 24,189.64, 36,280.28 and 6,655.32 is: 9,981.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,189.64 : 36,280.28 = 6,655.32 : x
  2. Step 2: Convert to fraction form
    24,189.64/36,280.28 = 6,655.32/x
  3. Step 3: Cross multiply
    24,189.64x = 36,280.28 × 6,655.32
  4. Step 4: Simplify right side
    24,189.64x = 241,456,873.09
  5. Step 5: Solve for x
    x = 241,456,873.09/24,189.64
  6. Step 6: Final answer
    x = 9,981.83

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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.