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Finding the Fourth Proportional to 24,435.84, 36,590.31 and 20,948.16

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Solution

The fourth proportional to 24,435.84, 36,590.31 and 20,948.16 is: 31,367.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,435.84 : 36,590.31 = 20,948.16 : x
  2. Step 2: Convert to fraction form
    24,435.84/36,590.31 = 20,948.16/x
  3. Step 3: Cross multiply
    24,435.84x = 36,590.31 × 20,948.16
  4. Step 4: Simplify right side
    24,435.84x = 766,499,668.33
  5. Step 5: Solve for x
    x = 766,499,668.33/24,435.84
  6. Step 6: Final answer
    x = 31,367.85

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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.