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Finding the Fourth Proportional to 12,869.85, 17,760.53 and 7,564.75

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Solution

The fourth proportional to 12,869.85, 17,760.53 and 7,564.75 is: 10,439.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,869.85 : 17,760.53 = 7,564.75 : x
  2. Step 2: Convert to fraction form
    12,869.85/17,760.53 = 7,564.75/x
  3. Step 3: Cross multiply
    12,869.85x = 17,760.53 × 7,564.75
  4. Step 4: Simplify right side
    12,869.85x = 134,353,969.32
  5. Step 5: Solve for x
    x = 134,353,969.32/12,869.85
  6. Step 6: Final answer
    x = 10,439.44

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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.