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Finding the Fourth Proportional to 22,642.74, 31,254.66 and 13,219.20

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Solution

The fourth proportional to 22,642.74, 31,254.66 and 13,219.20 is: 18,246.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,642.74 : 31,254.66 = 13,219.20 : x
  2. Step 2: Convert to fraction form
    22,642.74/31,254.66 = 13,219.20/x
  3. Step 3: Cross multiply
    22,642.74x = 31,254.66 × 13,219.20
  4. Step 4: Simplify right side
    22,642.74x = 413,161,601.47
  5. Step 5: Solve for x
    x = 413,161,601.47/22,642.74
  6. Step 6: Final answer
    x = 18,246.98

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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.