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Finding the Fourth Proportional to 24,582.48, 36,890.76 and 9,790.02

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Solution

The fourth proportional to 24,582.48, 36,890.76 and 9,790.02 is: 14,691.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,582.48 : 36,890.76 = 9,790.02 : x
  2. Step 2: Convert to fraction form
    24,582.48/36,890.76 = 9,790.02/x
  3. Step 3: Cross multiply
    24,582.48x = 36,890.76 × 9,790.02
  4. Step 4: Simplify right side
    24,582.48x = 361,161,278.22
  5. Step 5: Solve for x
    x = 361,161,278.22/24,582.48
  6. Step 6: Final answer
    x = 14,691.82

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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.