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Finding the Fourth Proportional to 22,838.32, 34,171.34 and 13,483.43

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Solution

The fourth proportional to 22,838.32, 34,171.34 and 13,483.43 is: 20,174.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,838.32 : 34,171.34 = 13,483.43 : x
  2. Step 2: Convert to fraction form
    22,838.32/34,171.34 = 13,483.43/x
  3. Step 3: Cross multiply
    22,838.32x = 34,171.34 × 13,483.43
  4. Step 4: Simplify right side
    22,838.32x = 460,746,733.75
  5. Step 5: Solve for x
    x = 460,746,733.75/22,838.32
  6. Step 6: Final answer
    x = 20,174.29

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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.