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Finding the Fourth Proportional to 26,105.79, 36,017.40 and 14,774.16

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Solution

The fourth proportional to 26,105.79, 36,017.40 and 14,774.16 is: 20,383.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,105.79 : 36,017.40 = 14,774.16 : x
  2. Step 2: Convert to fraction form
    26,105.79/36,017.40 = 14,774.16/x
  3. Step 3: Cross multiply
    26,105.79x = 36,017.40 × 14,774.16
  4. Step 4: Simplify right side
    26,105.79x = 532,126,830.38
  5. Step 5: Solve for x
    x = 532,126,830.38/26,105.79
  6. Step 6: Final answer
    x = 20,383.48

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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.