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Finding the Fourth Proportional to 22,935.60, 34,408.17 and 7,141.77

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Solution

The fourth proportional to 22,935.60, 34,408.17 and 7,141.77 is: 10,714.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,935.60 : 34,408.17 = 7,141.77 : x
  2. Step 2: Convert to fraction form
    22,935.60/34,408.17 = 7,141.77/x
  3. Step 3: Cross multiply
    22,935.60x = 34,408.17 × 7,141.77
  4. Step 4: Simplify right side
    22,935.60x = 245,735,236.26
  5. Step 5: Solve for x
    x = 245,735,236.26/22,935.60
  6. Step 6: Final answer
    x = 10,714.14

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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.