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Finding the Fourth Proportional to 15,676.66, 23,499.86 and 5,282.74

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Solution

The fourth proportional to 15,676.66, 23,499.86 and 5,282.74 is: 7,919.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,676.66 : 23,499.86 = 5,282.74 : x
  2. Step 2: Convert to fraction form
    15,676.66/23,499.86 = 5,282.74/x
  3. Step 3: Cross multiply
    15,676.66x = 23,499.86 × 5,282.74
  4. Step 4: Simplify right side
    15,676.66x = 124,143,650.42
  5. Step 5: Solve for x
    x = 124,143,650.42/15,676.66
  6. Step 6: Final answer
    x = 7,919.01

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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.