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Finding the Fourth Proportional to 23,123.16, 34,684.76 and 5,593

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Solution

The fourth proportional to 23,123.16, 34,684.76 and 5,593 is: 8,389.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,123.16 : 34,684.76 = 5,593 : x
  2. Step 2: Convert to fraction form
    23,123.16/34,684.76 = 5,593/x
  3. Step 3: Cross multiply
    23,123.16x = 34,684.76 × 5,593
  4. Step 4: Simplify right side
    23,123.16x = 193,991,862.68
  5. Step 5: Solve for x
    x = 193,991,862.68/23,123.16
  6. Step 6: Final answer
    x = 8,389.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.