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Finding the Fourth Proportional to 15,022.57, 22,509.18 and 5,156.47

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Solution

The fourth proportional to 15,022.57, 22,509.18 and 5,156.47 is: 7,726.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,022.57 : 22,509.18 = 5,156.47 : x
  2. Step 2: Convert to fraction form
    15,022.57/22,509.18 = 5,156.47/x
  3. Step 3: Cross multiply
    15,022.57x = 22,509.18 × 5,156.47
  4. Step 4: Simplify right side
    15,022.57x = 116,067,911.39
  5. Step 5: Solve for x
    x = 116,067,911.39/15,022.57
  6. Step 6: Final answer
    x = 7,726.24

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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.