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Finding the Fourth Proportional to 22,589.74, 31,175.04 and 12,519.28

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Solution

The fourth proportional to 22,589.74, 31,175.04 and 12,519.28 is: 17,277.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,589.74 : 31,175.04 = 12,519.28 : x
  2. Step 2: Convert to fraction form
    22,589.74/31,175.04 = 12,519.28/x
  3. Step 3: Cross multiply
    22,589.74x = 31,175.04 × 12,519.28
  4. Step 4: Simplify right side
    22,589.74x = 390,289,054.77
  5. Step 5: Solve for x
    x = 390,289,054.77/22,589.74
  6. Step 6: Final answer
    x = 17,277.27

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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.