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Finding the Fourth Proportional to 26,969.32, 40,458.30 and 8,497

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Solution

The fourth proportional to 26,969.32, 40,458.30 and 8,497 is: 12,746.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,969.32 : 40,458.30 = 8,497 : x
  2. Step 2: Convert to fraction form
    26,969.32/40,458.30 = 8,497/x
  3. Step 3: Cross multiply
    26,969.32x = 40,458.30 × 8,497
  4. Step 4: Simplify right side
    26,969.32x = 343,774,175.10
  5. Step 5: Solve for x
    x = 343,774,175.10/26,969.32
  6. Step 6: Final answer
    x = 12,746.86

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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.