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Finding the Fourth Proportional to 12,342.43, 17,032.13 and 7,038.95

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Solution

The fourth proportional to 12,342.43, 17,032.13 and 7,038.95 is: 9,713.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,342.43 : 17,032.13 = 7,038.95 : x
  2. Step 2: Convert to fraction form
    12,342.43/17,032.13 = 7,038.95/x
  3. Step 3: Cross multiply
    12,342.43x = 17,032.13 × 7,038.95
  4. Step 4: Simplify right side
    12,342.43x = 119,888,318.85
  5. Step 5: Solve for x
    x = 119,888,318.85/12,342.43
  6. Step 6: Final answer
    x = 9,713.51

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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.