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Finding the Fourth Proportional to 12,220.79, 16,866.47 and 7,744.95

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Solution

The fourth proportional to 12,220.79, 16,866.47 and 7,744.95 is: 10,689.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,220.79 : 16,866.47 = 7,744.95 : x
  2. Step 2: Convert to fraction form
    12,220.79/16,866.47 = 7,744.95/x
  3. Step 3: Cross multiply
    12,220.79x = 16,866.47 × 7,744.95
  4. Step 4: Simplify right side
    12,220.79x = 130,629,986.19
  5. Step 5: Solve for x
    x = 130,629,986.19/12,220.79
  6. Step 6: Final answer
    x = 10,689.16

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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.