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Finding the Fourth Proportional to 22,129.26, 33,194.16 and 6,547.20

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Solution

The fourth proportional to 22,129.26, 33,194.16 and 6,547.20 is: 9,820.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,129.26 : 33,194.16 = 6,547.20 : x
  2. Step 2: Convert to fraction form
    22,129.26/33,194.16 = 6,547.20/x
  3. Step 3: Cross multiply
    22,129.26x = 33,194.16 × 6,547.20
  4. Step 4: Simplify right side
    22,129.26x = 217,328,804.35
  5. Step 5: Solve for x
    x = 217,328,804.35/22,129.26
  6. Step 6: Final answer
    x = 9,820.88

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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.