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Finding the Fourth Proportional to 12,567.05, 17,337.75 and 7,461.44

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Solution

The fourth proportional to 12,567.05, 17,337.75 and 7,461.44 is: 10,293.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,567.05 : 17,337.75 = 7,461.44 : x
  2. Step 2: Convert to fraction form
    12,567.05/17,337.75 = 7,461.44/x
  3. Step 3: Cross multiply
    12,567.05x = 17,337.75 × 7,461.44
  4. Step 4: Simplify right side
    12,567.05x = 129,364,581.36
  5. Step 5: Solve for x
    x = 129,364,581.36/12,567.05
  6. Step 6: Final answer
    x = 10,293.95

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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.