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Finding the Fourth Proportional to 22,922.19, 34,386.93 and 8,128.96

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Solution

The fourth proportional to 22,922.19, 34,386.93 and 8,128.96 is: 12,194.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,922.19 : 34,386.93 = 8,128.96 : x
  2. Step 2: Convert to fraction form
    22,922.19/34,386.93 = 8,128.96/x
  3. Step 3: Cross multiply
    22,922.19x = 34,386.93 × 8,128.96
  4. Step 4: Simplify right side
    22,922.19x = 279,529,892.53
  5. Step 5: Solve for x
    x = 279,529,892.53/22,922.19
  6. Step 6: Final answer
    x = 12,194.73

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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.