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Finding the Fourth Proportional to 12,434.56, 17,148.16 and 8,238.08

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Solution

The fourth proportional to 12,434.56, 17,148.16 and 8,238.08 is: 11,360.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,434.56 : 17,148.16 = 8,238.08 : x
  2. Step 2: Convert to fraction form
    12,434.56/17,148.16 = 8,238.08/x
  3. Step 3: Cross multiply
    12,434.56x = 17,148.16 × 8,238.08
  4. Step 4: Simplify right side
    12,434.56x = 141,267,913.93
  5. Step 5: Solve for x
    x = 141,267,913.93/12,434.56
  6. Step 6: Final answer
    x = 11,360.91

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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.