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Finding the Fourth Proportional to 26,642.64, 36,767.25 and 14,706

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Solution

The fourth proportional to 26,642.64, 36,767.25 and 14,706 is: 20,294.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,642.64 : 36,767.25 = 14,706 : x
  2. Step 2: Convert to fraction form
    26,642.64/36,767.25 = 14,706/x
  3. Step 3: Cross multiply
    26,642.64x = 36,767.25 × 14,706
  4. Step 4: Simplify right side
    26,642.64x = 540,699,178.50
  5. Step 5: Solve for x
    x = 540,699,178.50/26,642.64
  6. Step 6: Final answer
    x = 20,294.50

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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.