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Finding the Fourth Proportional to 24,428.40, 36,642.60 and 8,844

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Solution

The fourth proportional to 24,428.40, 36,642.60 and 8,844 is: 13,266.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,428.40 : 36,642.60 = 8,844 : x
  2. Step 2: Convert to fraction form
    24,428.40/36,642.60 = 8,844/x
  3. Step 3: Cross multiply
    24,428.40x = 36,642.60 × 8,844
  4. Step 4: Simplify right side
    24,428.40x = 324,067,154.40
  5. Step 5: Solve for x
    x = 324,067,154.40/24,428.40
  6. Step 6: Final answer
    x = 13,266.00

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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.