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Finding the Fourth Proportional to 12,008.60, 16,569.78 and 6,971.69

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Solution

The fourth proportional to 12,008.60, 16,569.78 and 6,971.69 is: 9,619.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,008.60 : 16,569.78 = 6,971.69 : x
  2. Step 2: Convert to fraction form
    12,008.60/16,569.78 = 6,971.69/x
  3. Step 3: Cross multiply
    12,008.60x = 16,569.78 × 6,971.69
  4. Step 4: Simplify right side
    12,008.60x = 115,519,286.68
  5. Step 5: Solve for x
    x = 115,519,286.68/12,008.60
  6. Step 6: Final answer
    x = 9,619.72

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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.