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Finding the Fourth Proportional to 22,711.47, 34,017.94 and 11,000.13

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Solution

The fourth proportional to 22,711.47, 34,017.94 and 11,000.13 is: 16,476.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,711.47 : 34,017.94 = 11,000.13 : x
  2. Step 2: Convert to fraction form
    22,711.47/34,017.94 = 11,000.13/x
  3. Step 3: Cross multiply
    22,711.47x = 34,017.94 × 11,000.13
  4. Step 4: Simplify right side
    22,711.47x = 374,201,762.33
  5. Step 5: Solve for x
    x = 374,201,762.33/22,711.47
  6. Step 6: Final answer
    x = 16,476.33

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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.