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Finding the Fourth Proportional to 12,220.16, 16,864.47 and 7,742.27

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Solution

The fourth proportional to 12,220.16, 16,864.47 and 7,742.27 is: 10,684.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,220.16 : 16,864.47 = 7,742.27 : x
  2. Step 2: Convert to fraction form
    12,220.16/16,864.47 = 7,742.27/x
  3. Step 3: Cross multiply
    12,220.16x = 16,864.47 × 7,742.27
  4. Step 4: Simplify right side
    12,220.16x = 130,569,322.31
  5. Step 5: Solve for x
    x = 130,569,322.31/12,220.16
  6. Step 6: Final answer
    x = 10,684.75

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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.