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Finding the Fourth Proportional to 26,643.86, 36,768.84 and 14,707.20

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Solution

The fourth proportional to 26,643.86, 36,768.84 and 14,707.20 is: 20,296.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,643.86 : 36,768.84 = 14,707.20 : x
  2. Step 2: Convert to fraction form
    26,643.86/36,768.84 = 14,707.20/x
  3. Step 3: Cross multiply
    26,643.86x = 36,768.84 × 14,707.20
  4. Step 4: Simplify right side
    26,643.86x = 540,766,766.38
  5. Step 5: Solve for x
    x = 540,766,766.38/26,643.86
  6. Step 6: Final answer
    x = 20,296.11

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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.