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Finding the Fourth Proportional to 22,528.82, 31,092.03 and 12,458.02

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Solution

The fourth proportional to 22,528.82, 31,092.03 and 12,458.02 is: 17,193.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,528.82 : 31,092.03 = 12,458.02 : x
  2. Step 2: Convert to fraction form
    22,528.82/31,092.03 = 12,458.02/x
  3. Step 3: Cross multiply
    22,528.82x = 31,092.03 × 12,458.02
  4. Step 4: Simplify right side
    22,528.82x = 387,345,100.57
  5. Step 5: Solve for x
    x = 387,345,100.57/22,528.82
  6. Step 6: Final answer
    x = 17,193.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.