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Finding the Fourth Proportional to 24,375.96, 36,566.69 and 9,582.93

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Solution

The fourth proportional to 24,375.96, 36,566.69 and 9,582.93 is: 14,375.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,375.96 : 36,566.69 = 9,582.93 : x
  2. Step 2: Convert to fraction form
    24,375.96/36,566.69 = 9,582.93/x
  3. Step 3: Cross multiply
    24,375.96x = 36,566.69 × 9,582.93
  4. Step 4: Simplify right side
    24,375.96x = 350,415,982.69
  5. Step 5: Solve for x
    x = 350,415,982.69/24,375.96
  6. Step 6: Final answer
    x = 14,375.47

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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.