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Finding the Fourth Proportional to 26,206.68, 36,164.70 and 14,270.16

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Solution

The fourth proportional to 26,206.68, 36,164.70 and 14,270.16 is: 19,692.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,206.68 : 36,164.70 = 14,270.16 : x
  2. Step 2: Convert to fraction form
    26,206.68/36,164.70 = 14,270.16/x
  3. Step 3: Cross multiply
    26,206.68x = 36,164.70 × 14,270.16
  4. Step 4: Simplify right side
    26,206.68x = 516,076,055.35
  5. Step 5: Solve for x
    x = 516,076,055.35/26,206.68
  6. Step 6: Final answer
    x = 19,692.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.