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Finding the Fourth Proportional to 22,681.66, 34,022.54 and 6,886.82

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Solution

The fourth proportional to 22,681.66, 34,022.54 and 6,886.82 is: 10,330.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,681.66 : 34,022.54 = 6,886.82 : x
  2. Step 2: Convert to fraction form
    22,681.66/34,022.54 = 6,886.82/x
  3. Step 3: Cross multiply
    22,681.66x = 34,022.54 × 6,886.82
  4. Step 4: Simplify right side
    22,681.66x = 234,307,108.92
  5. Step 5: Solve for x
    x = 234,307,108.92/22,681.66
  6. Step 6: Final answer
    x = 10,330.25

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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.