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Finding the Fourth Proportional to 24,521.80, 36,771.90 and 9,725.80

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Solution

The fourth proportional to 24,521.80, 36,771.90 and 9,725.80 is: 14,584.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,521.80 : 36,771.90 = 9,725.80 : x
  2. Step 2: Convert to fraction form
    24,521.80/36,771.90 = 9,725.80/x
  3. Step 3: Cross multiply
    24,521.80x = 36,771.90 × 9,725.80
  4. Step 4: Simplify right side
    24,521.80x = 357,636,145.02
  5. Step 5: Solve for x
    x = 357,636,145.02/24,521.80
  6. Step 6: Final answer
    x = 14,584.42

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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.