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Finding the Fourth Proportional to 23,020.19, 31,770.32 and 13,463

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Solution

The fourth proportional to 23,020.19, 31,770.32 and 13,463 is: 18,580.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,020.19 : 31,770.32 = 13,463 : x
  2. Step 2: Convert to fraction form
    23,020.19/31,770.32 = 13,463/x
  3. Step 3: Cross multiply
    23,020.19x = 31,770.32 × 13,463
  4. Step 4: Simplify right side
    23,020.19x = 427,723,818.16
  5. Step 5: Solve for x
    x = 427,723,818.16/23,020.19
  6. Step 6: Final answer
    x = 18,580.38

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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.