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Finding the Fourth Proportional to 26,165.51, 36,107.65 and 14,836.09

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Solution

The fourth proportional to 26,165.51, 36,107.65 and 14,836.09 is: 20,473.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,165.51 : 36,107.65 = 14,836.09 : x
  2. Step 2: Convert to fraction form
    26,165.51/36,107.65 = 14,836.09/x
  3. Step 3: Cross multiply
    26,165.51x = 36,107.65 × 14,836.09
  4. Step 4: Simplify right side
    26,165.51x = 535,696,345.09
  5. Step 5: Solve for x
    x = 535,696,345.09/26,165.51
  6. Step 6: Final answer
    x = 20,473.38

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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.