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Finding the Fourth Proportional to 26,145.79, 36,081.09 and 14,209.16

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Solution

The fourth proportional to 26,145.79, 36,081.09 and 14,209.16 is: 19,608.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,145.79 : 36,081.09 = 14,209.16 : x
  2. Step 2: Convert to fraction form
    26,145.79/36,081.09 = 14,209.16/x
  3. Step 3: Cross multiply
    26,145.79x = 36,081.09 × 14,209.16
  4. Step 4: Simplify right side
    26,145.79x = 512,681,800.38
  5. Step 5: Solve for x
    x = 512,681,800.38/26,145.79
  6. Step 6: Final answer
    x = 19,608.58

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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.