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Finding the Fourth Proportional to 24,550.14, 36,838.43 and 9,759.20

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Solution

The fourth proportional to 24,550.14, 36,838.43 and 9,759.20 is: 14,644.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,550.14 : 36,838.43 = 9,759.20 : x
  2. Step 2: Convert to fraction form
    24,550.14/36,838.43 = 9,759.20/x
  3. Step 3: Cross multiply
    24,550.14x = 36,838.43 × 9,759.20
  4. Step 4: Simplify right side
    24,550.14x = 359,513,373.07
  5. Step 5: Solve for x
    x = 359,513,373.07/24,550.14
  6. Step 6: Final answer
    x = 14,644.05

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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.