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Finding the Fourth Proportional to 13,309.16, 18,382.98 and 9,966.89

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Solution

The fourth proportional to 13,309.16, 18,382.98 and 9,966.89 is: 13,766.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,309.16 : 18,382.98 = 9,966.89 : x
  2. Step 2: Convert to fraction form
    13,309.16/18,382.98 = 9,966.89/x
  3. Step 3: Cross multiply
    13,309.16x = 18,382.98 × 9,966.89
  4. Step 4: Simplify right side
    13,309.16x = 183,221,222.87
  5. Step 5: Solve for x
    x = 183,221,222.87/13,309.16
  6. Step 6: Final answer
    x = 13,766.56

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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.