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Finding the Fourth Proportional to 22,983.90, 34,471.74 and 6,117

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Solution

The fourth proportional to 22,983.90, 34,471.74 and 6,117 is: 9,174.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,983.90 : 34,471.74 = 6,117 : x
  2. Step 2: Convert to fraction form
    22,983.90/34,471.74 = 6,117/x
  3. Step 3: Cross multiply
    22,983.90x = 34,471.74 × 6,117
  4. Step 4: Simplify right side
    22,983.90x = 210,863,633.58
  5. Step 5: Solve for x
    x = 210,863,633.58/22,983.90
  6. Step 6: Final answer
    x = 9,174.41

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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.