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Finding the Fourth Proportional to 22,825.07, 31,498 and 12,753.59

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Solution

The fourth proportional to 22,825.07, 31,498 and 12,753.59 is: 17,599.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,825.07 : 31,498 = 12,753.59 : x
  2. Step 2: Convert to fraction form
    22,825.07/31,498 = 12,753.59/x
  3. Step 3: Cross multiply
    22,825.07x = 31,498 × 12,753.59
  4. Step 4: Simplify right side
    22,825.07x = 401,712,420.33
  5. Step 5: Solve for x
    x = 401,712,420.33/22,825.07
  6. Step 6: Final answer
    x = 17,599.62

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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.