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Finding the Fourth Proportional to 23,475.60, 32,397.60 and 13,401.92

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Solution

The fourth proportional to 23,475.60, 32,397.60 and 13,401.92 is: 18,495.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,475.60 : 32,397.60 = 13,401.92 : x
  2. Step 2: Convert to fraction form
    23,475.60/32,397.60 = 13,401.92/x
  3. Step 3: Cross multiply
    23,475.60x = 32,397.60 × 13,401.92
  4. Step 4: Simplify right side
    23,475.60x = 434,190,043.39
  5. Step 5: Solve for x
    x = 434,190,043.39/23,475.60
  6. Step 6: Final answer
    x = 18,495.38

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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.