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Finding the Fourth Proportional to 22,684.32, 34,035.12 and 7,894.80

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Solution

The fourth proportional to 22,684.32, 34,035.12 and 7,894.80 is: 11,845.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,684.32 : 34,035.12 = 7,894.80 : x
  2. Step 2: Convert to fraction form
    22,684.32/34,035.12 = 7,894.80/x
  3. Step 3: Cross multiply
    22,684.32x = 34,035.12 × 7,894.80
  4. Step 4: Simplify right side
    22,684.32x = 268,700,465.38
  5. Step 5: Solve for x
    x = 268,700,465.38/22,684.32
  6. Step 6: Final answer
    x = 11,845.21

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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.