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Finding the Fourth Proportional to 16,714.66, 25,074.03 and 6,182.89

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Solution

The fourth proportional to 16,714.66, 25,074.03 and 6,182.89 is: 9,275.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,714.66 : 25,074.03 = 6,182.89 : x
  2. Step 2: Convert to fraction form
    16,714.66/25,074.03 = 6,182.89/x
  3. Step 3: Cross multiply
    16,714.66x = 25,074.03 × 6,182.89
  4. Step 4: Simplify right side
    16,714.66x = 155,030,023.88
  5. Step 5: Solve for x
    x = 155,030,023.88/16,714.66
  6. Step 6: Final answer
    x = 9,275.09

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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.