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Finding the Fourth Proportional to 22,726.29, 34,094.82 and 7,143.93

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Solution

The fourth proportional to 22,726.29, 34,094.82 and 7,143.93 is: 10,717.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,726.29 : 34,094.82 = 7,143.93 : x
  2. Step 2: Convert to fraction form
    22,726.29/34,094.82 = 7,143.93/x
  3. Step 3: Cross multiply
    22,726.29x = 34,094.82 × 7,143.93
  4. Step 4: Simplify right side
    22,726.29x = 243,571,007.44
  5. Step 5: Solve for x
    x = 243,571,007.44/22,726.29
  6. Step 6: Final answer
    x = 10,717.59

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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.