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Finding the Fourth Proportional to 16,765.68, 25,148.52 and 5,814

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Solution

The fourth proportional to 16,765.68, 25,148.52 and 5,814 is: 8,721

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,765.68 : 25,148.52 = 5,814 : x
  2. Step 2: Convert to fraction form
    16,765.68/25,148.52 = 5,814/x
  3. Step 3: Cross multiply
    16,765.68x = 25,148.52 × 5,814
  4. Step 4: Simplify right side
    16,765.68x = 146,213,495.28
  5. Step 5: Solve for x
    x = 146,213,495.28/16,765.68
  6. Step 6: Final answer
    x = 8,721

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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.