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Finding the Fourth Proportional to 12,574.89, 17,353.26 and 6,909.70

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Solution

The fourth proportional to 12,574.89, 17,353.26 and 6,909.70 is: 9,535.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,574.89 : 17,353.26 = 6,909.70 : x
  2. Step 2: Convert to fraction form
    12,574.89/17,353.26 = 6,909.70/x
  3. Step 3: Cross multiply
    12,574.89x = 17,353.26 × 6,909.70
  4. Step 4: Simplify right side
    12,574.89x = 119,905,777.24
  5. Step 5: Solve for x
    x = 119,905,777.24/12,574.89
  6. Step 6: Final answer
    x = 9,535.33

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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.