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Finding the Fourth Proportional to 12,320.31, 17,002.14 and 7,015.47

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Solution

The fourth proportional to 12,320.31, 17,002.14 and 7,015.47 is: 9,681.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,320.31 : 17,002.14 = 7,015.47 : x
  2. Step 2: Convert to fraction form
    12,320.31/17,002.14 = 7,015.47/x
  3. Step 3: Cross multiply
    12,320.31x = 17,002.14 × 7,015.47
  4. Step 4: Simplify right side
    12,320.31x = 119,278,003.11
  5. Step 5: Solve for x
    x = 119,278,003.11/12,320.31
  6. Step 6: Final answer
    x = 9,681.41

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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.