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Finding the Fourth Proportional to 15,649.56, 23,459.68 and 5,254

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Solution

The fourth proportional to 15,649.56, 23,459.68 and 5,254 is: 7,876.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,649.56 : 23,459.68 = 5,254 : x
  2. Step 2: Convert to fraction form
    15,649.56/23,459.68 = 5,254/x
  3. Step 3: Cross multiply
    15,649.56x = 23,459.68 × 5,254
  4. Step 4: Simplify right side
    15,649.56x = 123,257,158.72
  5. Step 5: Solve for x
    x = 123,257,158.72/15,649.56
  6. Step 6: Final answer
    x = 7,876.08

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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.