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Finding the Fourth Proportional to 13,535, 20,302.62 and 5,327

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Solution

The fourth proportional to 13,535, 20,302.62 and 5,327 is: 7,990.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,535 : 20,302.62 = 5,327 : x
  2. Step 2: Convert to fraction form
    13,535/20,302.62 = 5,327/x
  3. Step 3: Cross multiply
    13,535x = 20,302.62 × 5,327
  4. Step 4: Simplify right side
    13,535x = 108,152,056.74
  5. Step 5: Solve for x
    x = 108,152,056.74/13,535
  6. Step 6: Final answer
    x = 7,990.55

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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.