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Finding the Fourth Proportional to 22,827.36, 34,235.10 and 9,672.96

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Solution

The fourth proportional to 22,827.36, 34,235.10 and 9,672.96 is: 14,506.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,827.36 : 34,235.10 = 9,672.96 : x
  2. Step 2: Convert to fraction form
    22,827.36/34,235.10 = 9,672.96/x
  3. Step 3: Cross multiply
    22,827.36x = 34,235.10 × 9,672.96
  4. Step 4: Simplify right side
    22,827.36x = 331,154,752.90
  5. Step 5: Solve for x
    x = 331,154,752.90/22,827.36
  6. Step 6: Final answer
    x = 14,506.92

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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.