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Finding the Fourth Proportional to 26,459.68, 39,659.28 and 10,858

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Solution

The fourth proportional to 26,459.68, 39,659.28 and 10,858 is: 16,274.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,459.68 : 39,659.28 = 10,858 : x
  2. Step 2: Convert to fraction form
    26,459.68/39,659.28 = 10,858/x
  3. Step 3: Cross multiply
    26,459.68x = 39,659.28 × 10,858
  4. Step 4: Simplify right side
    26,459.68x = 430,620,462.24
  5. Step 5: Solve for x
    x = 430,620,462.24/26,459.68
  6. Step 6: Final answer
    x = 16,274.59

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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.