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Finding the Fourth Proportional to 12,368.76, 17,069.70 and 6,989.31

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Solution

The fourth proportional to 12,368.76, 17,069.70 and 6,989.31 is: 9,645.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,368.76 : 17,069.70 = 6,989.31 : x
  2. Step 2: Convert to fraction form
    12,368.76/17,069.70 = 6,989.31/x
  3. Step 3: Cross multiply
    12,368.76x = 17,069.70 × 6,989.31
  4. Step 4: Simplify right side
    12,368.76x = 119,305,424.91
  5. Step 5: Solve for x
    x = 119,305,424.91/12,368.76
  6. Step 6: Final answer
    x = 9,645.71

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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.