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Finding the Fourth Proportional to 12,342.15, 17,027.98 and 7,033.18

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Solution

The fourth proportional to 12,342.15, 17,027.98 and 7,033.18 is: 9,703.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,342.15 : 17,027.98 = 7,033.18 : x
  2. Step 2: Convert to fraction form
    12,342.15/17,027.98 = 7,033.18/x
  3. Step 3: Cross multiply
    12,342.15x = 17,027.98 × 7,033.18
  4. Step 4: Simplify right side
    12,342.15x = 119,760,848.38
  5. Step 5: Solve for x
    x = 119,760,848.38/12,342.15
  6. Step 6: Final answer
    x = 9,703.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.