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Finding the Fourth Proportional to 22,530.45, 31,091.49 and 12,458.64

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Solution

The fourth proportional to 22,530.45, 31,091.49 and 12,458.64 is: 17,192.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,530.45 : 31,091.49 = 12,458.64 : x
  2. Step 2: Convert to fraction form
    22,530.45/31,091.49 = 12,458.64/x
  3. Step 3: Cross multiply
    22,530.45x = 31,091.49 × 12,458.64
  4. Step 4: Simplify right side
    22,530.45x = 387,357,680.97
  5. Step 5: Solve for x
    x = 387,357,680.97/22,530.45
  6. Step 6: Final answer
    x = 17,192.63

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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.