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Finding the Fourth Proportional to 23,748.32, 32,772.70 and 13,138.68

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Solution

The fourth proportional to 23,748.32, 32,772.70 and 13,138.68 is: 18,131.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,748.32 : 32,772.70 = 13,138.68 : x
  2. Step 2: Convert to fraction form
    23,748.32/32,772.70 = 13,138.68/x
  3. Step 3: Cross multiply
    23,748.32x = 32,772.70 × 13,138.68
  4. Step 4: Simplify right side
    23,748.32x = 430,590,018.04
  5. Step 5: Solve for x
    x = 430,590,018.04/23,748.32
  6. Step 6: Final answer
    x = 18,131.39

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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.