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Finding the Fourth Proportional to 26,035, 39,064.40 and 14,171

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Solution

The fourth proportional to 26,035, 39,064.40 and 14,171 is: 21,262.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,035 : 39,064.40 = 14,171 : x
  2. Step 2: Convert to fraction form
    26,035/39,064.40 = 14,171/x
  3. Step 3: Cross multiply
    26,035x = 39,064.40 × 14,171
  4. Step 4: Simplify right side
    26,035x = 553,581,612.40
  5. Step 5: Solve for x
    x = 553,581,612.40/26,035
  6. Step 6: Final answer
    x = 21,262.98

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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.