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Finding the Fourth Proportional to 26,678.57, 36,814.57 and 14,741.80

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Solution

The fourth proportional to 26,678.57, 36,814.57 and 14,741.80 is: 20,342.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,678.57 : 36,814.57 = 14,741.80 : x
  2. Step 2: Convert to fraction form
    26,678.57/36,814.57 = 14,741.80/x
  3. Step 3: Cross multiply
    26,678.57x = 36,814.57 × 14,741.80
  4. Step 4: Simplify right side
    26,678.57x = 542,712,899.14
  5. Step 5: Solve for x
    x = 542,712,899.14/26,678.57
  6. Step 6: Final answer
    x = 20,342.66

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1.5x scale

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.