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Finding the Fourth Proportional to 22,498.64, 31,049 and 12,427.60

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Solution

The fourth proportional to 22,498.64, 31,049 and 12,427.60 is: 17,150.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,498.64 : 31,049 = 12,427.60 : x
  2. Step 2: Convert to fraction form
    22,498.64/31,049 = 12,427.60/x
  3. Step 3: Cross multiply
    22,498.64x = 31,049 × 12,427.60
  4. Step 4: Simplify right side
    22,498.64x = 385,864,552.40
  5. Step 5: Solve for x
    x = 385,864,552.40/22,498.64
  6. Step 6: Final answer
    x = 17,150.57

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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.