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Finding the Fourth Proportional to 16,065.60, 24,094.08 and 5,676

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Solution

The fourth proportional to 16,065.60, 24,094.08 and 5,676 is: 8,512.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,065.60 : 24,094.08 = 5,676 : x
  2. Step 2: Convert to fraction form
    16,065.60/24,094.08 = 5,676/x
  3. Step 3: Cross multiply
    16,065.60x = 24,094.08 × 5,676
  4. Step 4: Simplify right side
    16,065.60x = 136,757,998.08
  5. Step 5: Solve for x
    x = 136,757,998.08/16,065.60
  6. Step 6: Final answer
    x = 8,512.47

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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.