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Finding the Fourth Proportional to 12,867.60, 17,759.34 and 7,563.72

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Solution

The fourth proportional to 12,867.60, 17,759.34 and 7,563.72 is: 10,439.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,867.60 : 17,759.34 = 7,563.72 : x
  2. Step 2: Convert to fraction form
    12,867.60/17,759.34 = 7,563.72/x
  3. Step 3: Cross multiply
    12,867.60x = 17,759.34 × 7,563.72
  4. Step 4: Simplify right side
    12,867.60x = 134,326,675.14
  5. Step 5: Solve for x
    x = 134,326,675.14/12,867.60
  6. Step 6: Final answer
    x = 10,439.14

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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.