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Finding the Fourth Proportional to 12,718.22, 17,559.89 and 9,728.84

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Solution

The fourth proportional to 12,718.22, 17,559.89 and 9,728.84 is: 13,432.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,718.22 : 17,559.89 = 9,728.84 : x
  2. Step 2: Convert to fraction form
    12,718.22/17,559.89 = 9,728.84/x
  3. Step 3: Cross multiply
    12,718.22x = 17,559.89 × 9,728.84
  4. Step 4: Simplify right side
    12,718.22x = 170,837,391.97
  5. Step 5: Solve for x
    x = 170,837,391.97/12,718.22
  6. Step 6: Final answer
    x = 13,432.50

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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.