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Finding the Fourth Proportional to 23,645.38, 32,632.10 and 13,035

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Solution

The fourth proportional to 23,645.38, 32,632.10 and 13,035 is: 17,989.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,645.38 : 32,632.10 = 13,035 : x
  2. Step 2: Convert to fraction form
    23,645.38/32,632.10 = 13,035/x
  3. Step 3: Cross multiply
    23,645.38x = 32,632.10 × 13,035
  4. Step 4: Simplify right side
    23,645.38x = 425,359,423.50
  5. Step 5: Solve for x
    x = 425,359,423.50/23,645.38
  6. Step 6: Final answer
    x = 17,989.11

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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.