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Finding the Fourth Proportional to 26,102.16, 36,020.90 and 14,165.39

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Solution

The fourth proportional to 26,102.16, 36,020.90 and 14,165.39 is: 19,548.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,102.16 : 36,020.90 = 14,165.39 : x
  2. Step 2: Convert to fraction form
    26,102.16/36,020.90 = 14,165.39/x
  3. Step 3: Cross multiply
    26,102.16x = 36,020.90 × 14,165.39
  4. Step 4: Simplify right side
    26,102.16x = 510,250,222.12
  5. Step 5: Solve for x
    x = 510,250,222.12/26,102.16
  6. Step 6: Final answer
    x = 19,548.20

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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.