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Finding the Fourth Proportional to 26,824.32, 40,240.80 and 8,352

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Solution

The fourth proportional to 26,824.32, 40,240.80 and 8,352 is: 12,529.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,824.32 : 40,240.80 = 8,352 : x
  2. Step 2: Convert to fraction form
    26,824.32/40,240.80 = 8,352/x
  3. Step 3: Cross multiply
    26,824.32x = 40,240.80 × 8,352
  4. Step 4: Simplify right side
    26,824.32x = 336,091,161.60
  5. Step 5: Solve for x
    x = 336,091,161.60/26,824.32
  6. Step 6: Final answer
    x = 12,529.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.