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Finding the Fourth Proportional to 26,158.32, 36,097.74 and 14,221.38

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Solution

The fourth proportional to 26,158.32, 36,097.74 and 14,221.38 is: 19,625.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,158.32 : 36,097.74 = 14,221.38 : x
  2. Step 2: Convert to fraction form
    26,158.32/36,097.74 = 14,221.38/x
  3. Step 3: Cross multiply
    26,158.32x = 36,097.74 × 14,221.38
  4. Step 4: Simplify right side
    26,158.32x = 513,359,677.68
  5. Step 5: Solve for x
    x = 513,359,677.68/26,158.32
  6. Step 6: Final answer
    x = 19,625.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.