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Finding the Fourth Proportional to 22,498.58, 31,048.28 and 12,427.28

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Solution

The fourth proportional to 22,498.58, 31,048.28 and 12,427.28 is: 17,149.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,498.58 : 31,048.28 = 12,427.28 : x
  2. Step 2: Convert to fraction form
    22,498.58/31,048.28 = 12,427.28/x
  3. Step 3: Cross multiply
    22,498.58x = 31,048.28 × 12,427.28
  4. Step 4: Simplify right side
    22,498.58x = 385,845,669.08
  5. Step 5: Solve for x
    x = 385,845,669.08/22,498.58
  6. Step 6: Final answer
    x = 17,149.78

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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.