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Finding the Fourth Proportional to 15,002.88, 22,509.18 and 5,142.24

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Solution

The fourth proportional to 15,002.88, 22,509.18 and 5,142.24 is: 7,715.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,002.88 : 22,509.18 = 5,142.24 : x
  2. Step 2: Convert to fraction form
    15,002.88/22,509.18 = 5,142.24/x
  3. Step 3: Cross multiply
    15,002.88x = 22,509.18 × 5,142.24
  4. Step 4: Simplify right side
    15,002.88x = 115,747,605.76
  5. Step 5: Solve for x
    x = 115,747,605.76/15,002.88
  6. Step 6: Final answer
    x = 7,715.03

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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.