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Finding the Fourth Proportional to 12,642.12, 17,443.14 and 7,336.02

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Solution

The fourth proportional to 12,642.12, 17,443.14 and 7,336.02 is: 10,121.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,642.12 : 17,443.14 = 7,336.02 : x
  2. Step 2: Convert to fraction form
    12,642.12/17,443.14 = 7,336.02/x
  3. Step 3: Cross multiply
    12,642.12x = 17,443.14 × 7,336.02
  4. Step 4: Simplify right side
    12,642.12x = 127,963,223.90
  5. Step 5: Solve for x
    x = 127,963,223.90/12,642.12
  6. Step 6: Final answer
    x = 10,121.98

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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.