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Finding the Fourth Proportional to 22,129.13, 33,200.19 and 6,547.16

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Solution

The fourth proportional to 22,129.13, 33,200.19 and 6,547.16 is: 9,822.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,129.13 : 33,200.19 = 6,547.16 : x
  2. Step 2: Convert to fraction form
    22,129.13/33,200.19 = 6,547.16/x
  3. Step 3: Cross multiply
    22,129.13x = 33,200.19 × 6,547.16
  4. Step 4: Simplify right side
    22,129.13x = 217,366,789.96
  5. Step 5: Solve for x
    x = 217,366,789.96/22,129.13
  6. Step 6: Final answer
    x = 9,822.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.