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Finding the Fourth Proportional to 12,013.95, 16,578.04 and 8,240.34

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Solution

The fourth proportional to 12,013.95, 16,578.04 and 8,240.34 is: 11,370.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,013.95 : 16,578.04 = 8,240.34 : x
  2. Step 2: Convert to fraction form
    12,013.95/16,578.04 = 8,240.34/x
  3. Step 3: Cross multiply
    12,013.95x = 16,578.04 × 8,240.34
  4. Step 4: Simplify right side
    12,013.95x = 136,608,686.13
  5. Step 5: Solve for x
    x = 136,608,686.13/12,013.95
  6. Step 6: Final answer
    x = 11,370.84

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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.