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Finding the Fourth Proportional to 12,158.02, 16,778.06 and 6,569.02

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Solution

The fourth proportional to 12,158.02, 16,778.06 and 6,569.02 is: 9,065.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,158.02 : 16,778.06 = 6,569.02 : x
  2. Step 2: Convert to fraction form
    12,158.02/16,778.06 = 6,569.02/x
  3. Step 3: Cross multiply
    12,158.02x = 16,778.06 × 6,569.02
  4. Step 4: Simplify right side
    12,158.02x = 110,215,348.56
  5. Step 5: Solve for x
    x = 110,215,348.56/12,158.02
  6. Step 6: Final answer
    x = 9,065.24

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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.