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Finding the Fourth Proportional to 12,603.18, 17,387.34 and 7,567.68

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Solution

The fourth proportional to 12,603.18, 17,387.34 and 7,567.68 is: 10,440.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,603.18 : 17,387.34 = 7,567.68 : x
  2. Step 2: Convert to fraction form
    12,603.18/17,387.34 = 7,567.68/x
  3. Step 3: Cross multiply
    12,603.18x = 17,387.34 × 7,567.68
  4. Step 4: Simplify right side
    12,603.18x = 131,581,825.17
  5. Step 5: Solve for x
    x = 131,581,825.17/12,603.18
  6. Step 6: Final answer
    x = 10,440.37

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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.