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Finding the Fourth Proportional to 12,158.68, 16,778.97 and 6,569.68

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Solution

The fourth proportional to 12,158.68, 16,778.97 and 6,569.68 is: 9,066.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,158.68 : 16,778.97 = 6,569.68 : x
  2. Step 2: Convert to fraction form
    12,158.68/16,778.97 = 6,569.68/x
  3. Step 3: Cross multiply
    12,158.68x = 16,778.97 × 6,569.68
  4. Step 4: Simplify right side
    12,158.68x = 110,232,421.68
  5. Step 5: Solve for x
    x = 110,232,421.68/12,158.68
  6. Step 6: Final answer
    x = 9,066.15

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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.