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Finding the Fourth Proportional to 12,617.52, 17,386.56 and 9,767.68

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Solution

The fourth proportional to 12,617.52, 17,386.56 and 9,767.68 is: 13,459.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,617.52 : 17,386.56 = 9,767.68 : x
  2. Step 2: Convert to fraction form
    12,617.52/17,386.56 = 9,767.68/x
  3. Step 3: Cross multiply
    12,617.52x = 17,386.56 × 9,767.68
  4. Step 4: Simplify right side
    12,617.52x = 169,826,354.38
  5. Step 5: Solve for x
    x = 169,826,354.38/12,617.52
  6. Step 6: Final answer
    x = 13,459.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.