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Finding the Fourth Proportional to 12,934.72, 17,824.88 and 9,202.24

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Solution

The fourth proportional to 12,934.72, 17,824.88 and 9,202.24 is: 12,681.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,934.72 : 17,824.88 = 9,202.24 : x
  2. Step 2: Convert to fraction form
    12,934.72/17,824.88 = 9,202.24/x
  3. Step 3: Cross multiply
    12,934.72x = 17,824.88 × 9,202.24
  4. Step 4: Simplify right side
    12,934.72x = 164,028,823.73
  5. Step 5: Solve for x
    x = 164,028,823.73/12,934.72
  6. Step 6: Final answer
    x = 12,681.28

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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.