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Finding the Fourth Proportional to 23,645.92, 32,630.84 and 13,035.28

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Solution

The fourth proportional to 23,645.92, 32,630.84 and 13,035.28 is: 17,988.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,645.92 : 32,630.84 = 13,035.28 : x
  2. Step 2: Convert to fraction form
    23,645.92/32,630.84 = 13,035.28/x
  3. Step 3: Cross multiply
    23,645.92x = 32,630.84 × 13,035.28
  4. Step 4: Simplify right side
    23,645.92x = 425,352,136.04
  5. Step 5: Solve for x
    x = 425,352,136.04/23,645.92
  6. Step 6: Final answer
    x = 17,988.39

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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.