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Finding the Fourth Proportional to 23,586.78, 32,524.38 and 16,869.90

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Solution

The fourth proportional to 23,586.78, 32,524.38 and 16,869.90 is: 23,262.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,586.78 : 32,524.38 = 16,869.90 : x
  2. Step 2: Convert to fraction form
    23,586.78/32,524.38 = 16,869.90/x
  3. Step 3: Cross multiply
    23,586.78x = 32,524.38 × 16,869.90
  4. Step 4: Simplify right side
    23,586.78x = 548,683,038.16
  5. Step 5: Solve for x
    x = 548,683,038.16/23,586.78
  6. Step 6: Final answer
    x = 23,262.31

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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.