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Finding the Fourth Proportional to 22,493.76, 31,041.88 and 12,422.18

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Solution

The fourth proportional to 22,493.76, 31,041.88 and 12,422.18 is: 17,142.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,493.76 : 31,041.88 = 12,422.18 : x
  2. Step 2: Convert to fraction form
    22,493.76/31,041.88 = 12,422.18/x
  3. Step 3: Cross multiply
    22,493.76x = 31,041.88 × 12,422.18
  4. Step 4: Simplify right side
    22,493.76x = 385,607,820.90
  5. Step 5: Solve for x
    x = 385,607,820.90/22,493.76
  6. Step 6: Final answer
    x = 17,142.88

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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.