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Finding the Fourth Proportional to 22,508.64, 31,054.46 and 13,552.74

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Solution

The fourth proportional to 22,508.64, 31,054.46 and 13,552.74 is: 18,698.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,508.64 : 31,054.46 = 13,552.74 : x
  2. Step 2: Convert to fraction form
    22,508.64/31,054.46 = 13,552.74/x
  3. Step 3: Cross multiply
    22,508.64x = 31,054.46 × 13,552.74
  4. Step 4: Simplify right side
    22,508.64x = 420,872,954.46
  5. Step 5: Solve for x
    x = 420,872,954.46/22,508.64
  6. Step 6: Final answer
    x = 18,698.28

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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.