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Finding the Fourth Proportional to 26,900.32, 40,356.95 and 8,432.32

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Solution

The fourth proportional to 26,900.32, 40,356.95 and 8,432.32 is: 12,650.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,900.32 : 40,356.95 = 8,432.32 : x
  2. Step 2: Convert to fraction form
    26,900.32/40,356.95 = 8,432.32/x
  3. Step 3: Cross multiply
    26,900.32x = 40,356.95 × 8,432.32
  4. Step 4: Simplify right side
    26,900.32x = 340,302,514.84
  5. Step 5: Solve for x
    x = 340,302,514.84/26,900.32
  6. Step 6: Final answer
    x = 12,650.50

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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.