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Finding the Fourth Proportional to 22,071.35, 30,471.02 and 14,539.57

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Solution

The fourth proportional to 22,071.35, 30,471.02 and 14,539.57 is: 20,072.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,071.35 : 30,471.02 = 14,539.57 : x
  2. Step 2: Convert to fraction form
    22,071.35/30,471.02 = 14,539.57/x
  3. Step 3: Cross multiply
    22,071.35x = 30,471.02 × 14,539.57
  4. Step 4: Simplify right side
    22,071.35x = 443,035,433.91
  5. Step 5: Solve for x
    x = 443,035,433.91/22,071.35
  6. Step 6: Final answer
    x = 20,072.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.