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Finding the Fourth Proportional to 12,342.54, 17,033.04 and 7,038.66

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Solution

The fourth proportional to 12,342.54, 17,033.04 and 7,038.66 is: 9,713.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,342.54 : 17,033.04 = 7,038.66 : x
  2. Step 2: Convert to fraction form
    12,342.54/17,033.04 = 7,038.66/x
  3. Step 3: Cross multiply
    12,342.54x = 17,033.04 × 7,038.66
  4. Step 4: Simplify right side
    12,342.54x = 119,889,777.33
  5. Step 5: Solve for x
    x = 119,889,777.33/12,342.54
  6. Step 6: Final answer
    x = 9,713.54

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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.