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Finding the Fourth Proportional to 24,449.93, 36,656.90 and 7,800.38

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Solution

The fourth proportional to 24,449.93, 36,656.90 and 7,800.38 is: 11,694.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,449.93 : 36,656.90 = 7,800.38 : x
  2. Step 2: Convert to fraction form
    24,449.93/36,656.90 = 7,800.38/x
  3. Step 3: Cross multiply
    24,449.93x = 36,656.90 × 7,800.38
  4. Step 4: Simplify right side
    24,449.93x = 285,937,527.34
  5. Step 5: Solve for x
    x = 285,937,527.34/24,449.93
  6. Step 6: Final answer
    x = 11,694.82

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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.