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Finding the Fourth Proportional to 26,914.56, 40,368.96 and 9,384

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Solution

The fourth proportional to 26,914.56, 40,368.96 and 9,384 is: 14,075.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,914.56 : 40,368.96 = 9,384 : x
  2. Step 2: Convert to fraction form
    26,914.56/40,368.96 = 9,384/x
  3. Step 3: Cross multiply
    26,914.56x = 40,368.96 × 9,384
  4. Step 4: Simplify right side
    26,914.56x = 378,822,320.64
  5. Step 5: Solve for x
    x = 378,822,320.64/26,914.56
  6. Step 6: Final answer
    x = 14,075.00

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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.