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Finding the Fourth Proportional to 26,964, 40,452.48 and 8,496

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Solution

The fourth proportional to 26,964, 40,452.48 and 8,496 is: 12,746.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,964 : 40,452.48 = 8,496 : x
  2. Step 2: Convert to fraction form
    26,964/40,452.48 = 8,496/x
  3. Step 3: Cross multiply
    26,964x = 40,452.48 × 8,496
  4. Step 4: Simplify right side
    26,964x = 343,684,270.08
  5. Step 5: Solve for x
    x = 343,684,270.08/26,964
  6. Step 6: Final answer
    x = 12,746.04

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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.