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Finding the Fourth Proportional to 26,164.64, 39,263.68 and 9,523.12

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Solution

The fourth proportional to 26,164.64, 39,263.68 and 9,523.12 is: 14,290.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,164.64 : 39,263.68 = 9,523.12 : x
  2. Step 2: Convert to fraction form
    26,164.64/39,263.68 = 9,523.12/x
  3. Step 3: Cross multiply
    26,164.64x = 39,263.68 × 9,523.12
  4. Step 4: Simplify right side
    26,164.64x = 373,912,736.28
  5. Step 5: Solve for x
    x = 373,912,736.28/26,164.64
  6. Step 6: Final answer
    x = 14,290.77

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