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Finding the Fourth Proportional to 25,000.24, 34,500.04 and 13,822

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Solution

The fourth proportional to 25,000.24, 34,500.04 and 13,822 is: 19,074.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,000.24 : 34,500.04 = 13,822 : x
  2. Step 2: Convert to fraction form
    25,000.24/34,500.04 = 13,822/x
  3. Step 3: Cross multiply
    25,000.24x = 34,500.04 × 13,822
  4. Step 4: Simplify right side
    25,000.24x = 476,859,552.88
  5. Step 5: Solve for x
    x = 476,859,552.88/25,000.24
  6. Step 6: Final answer
    x = 19,074.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.