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Finding the Fourth Proportional to 12,541.44, 17,307.12 and 6,876.44

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Solution

The fourth proportional to 12,541.44, 17,307.12 and 6,876.44 is: 9,489.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,541.44 : 17,307.12 = 6,876.44 : x
  2. Step 2: Convert to fraction form
    12,541.44/17,307.12 = 6,876.44/x
  3. Step 3: Cross multiply
    12,541.44x = 17,307.12 × 6,876.44
  4. Step 4: Simplify right side
    12,541.44x = 119,011,372.25
  5. Step 5: Solve for x
    x = 119,011,372.25/12,541.44
  6. Step 6: Final answer
    x = 9,489.45

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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.