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Finding the Fourth Proportional to 23,445.50, 32,354.81 and 12,835.78

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Solution

The fourth proportional to 23,445.50, 32,354.81 and 12,835.78 is: 17,713.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,445.50 : 32,354.81 = 12,835.78 : x
  2. Step 2: Convert to fraction form
    23,445.50/32,354.81 = 12,835.78/x
  3. Step 3: Cross multiply
    23,445.50x = 32,354.81 × 12,835.78
  4. Step 4: Simplify right side
    23,445.50x = 415,299,223.10
  5. Step 5: Solve for x
    x = 415,299,223.10/23,445.50
  6. Step 6: Final answer
    x = 17,713.39

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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.