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Finding the Fourth Proportional to 12,342.02, 17,027.78 and 7,033.10

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Solution

The fourth proportional to 12,342.02, 17,027.78 and 7,033.10 is: 9,703.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,342.02 : 17,027.78 = 7,033.10 : x
  2. Step 2: Convert to fraction form
    12,342.02/17,027.78 = 7,033.10/x
  3. Step 3: Cross multiply
    12,342.02x = 17,027.78 × 7,033.10
  4. Step 4: Simplify right side
    12,342.02x = 119,758,079.52
  5. Step 5: Solve for x
    x = 119,758,079.52/12,342.02
  6. Step 6: Final answer
    x = 9,703.28

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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.