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Finding the Fourth Proportional to 12,332.31, 17,019.70 and 7,028.84

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Solution

The fourth proportional to 12,332.31, 17,019.70 and 7,028.84 is: 9,700.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,332.31 : 17,019.70 = 7,028.84 : x
  2. Step 2: Convert to fraction form
    12,332.31/17,019.70 = 7,028.84/x
  3. Step 3: Cross multiply
    12,332.31x = 17,019.70 × 7,028.84
  4. Step 4: Simplify right side
    12,332.31x = 119,628,663.05
  5. Step 5: Solve for x
    x = 119,628,663.05/12,332.31
  6. Step 6: Final answer
    x = 9,700.43

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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.