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Finding the Fourth Proportional to 22,529.98, 31,091.04 and 12,458.20

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Solution

The fourth proportional to 22,529.98, 31,091.04 and 12,458.20 is: 17,192.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,529.98 : 31,091.04 = 12,458.20 : x
  2. Step 2: Convert to fraction form
    22,529.98/31,091.04 = 12,458.20/x
  3. Step 3: Cross multiply
    22,529.98x = 31,091.04 × 12,458.20
  4. Step 4: Simplify right side
    22,529.98x = 387,338,239.07
  5. Step 5: Solve for x
    x = 387,338,239.07/22,529.98
  6. Step 6: Final answer
    x = 17,192.13

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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.