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Finding the Fourth Proportional to 12,642.20, 17,440.64 and 7,603.50

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Solution

The fourth proportional to 12,642.20, 17,440.64 and 7,603.50 is: 10,489.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,642.20 : 17,440.64 = 7,603.50 : x
  2. Step 2: Convert to fraction form
    12,642.20/17,440.64 = 7,603.50/x
  3. Step 3: Cross multiply
    12,642.20x = 17,440.64 × 7,603.50
  4. Step 4: Simplify right side
    12,642.20x = 132,609,906.24
  5. Step 5: Solve for x
    x = 132,609,906.24/12,642.20
  6. Step 6: Final answer
    x = 10,489.46

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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.