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Finding the Fourth Proportional to 22,897.56, 31,598.25 and 12,825.97

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Solution

The fourth proportional to 22,897.56, 31,598.25 and 12,825.97 is: 17,699.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,897.56 : 31,598.25 = 12,825.97 : x
  2. Step 2: Convert to fraction form
    22,897.56/31,598.25 = 12,825.97/x
  3. Step 3: Cross multiply
    22,897.56x = 31,598.25 × 12,825.97
  4. Step 4: Simplify right side
    22,897.56x = 405,278,206.55
  5. Step 5: Solve for x
    x = 405,278,206.55/22,897.56
  6. Step 6: Final answer
    x = 17,699.62

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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.