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Finding the Fourth Proportional to 26,805.76, 40,210.86 and 10,165.77

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Solution

The fourth proportional to 26,805.76, 40,210.86 and 10,165.77 is: 15,249.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,805.76 : 40,210.86 = 10,165.77 : x
  2. Step 2: Convert to fraction form
    26,805.76/40,210.86 = 10,165.77/x
  3. Step 3: Cross multiply
    26,805.76x = 40,210.86 × 10,165.77
  4. Step 4: Simplify right side
    26,805.76x = 408,774,354.26
  5. Step 5: Solve for x
    x = 408,774,354.26/26,805.76
  6. Step 6: Final answer
    x = 15,249.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.