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Finding the Fourth Proportional to 12,867.53, 17,759.99 and 7,565.41

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Solution

The fourth proportional to 12,867.53, 17,759.99 and 7,565.41 is: 10,441.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,867.53 : 17,759.99 = 7,565.41 : x
  2. Step 2: Convert to fraction form
    12,867.53/17,759.99 = 7,565.41/x
  3. Step 3: Cross multiply
    12,867.53x = 17,759.99 × 7,565.41
  4. Step 4: Simplify right side
    12,867.53x = 134,361,647.06
  5. Step 5: Solve for x
    x = 134,361,647.06/12,867.53
  6. Step 6: Final answer
    x = 10,441.92

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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.