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Finding the Fourth Proportional to 24,814.28, 37,219.20 and 9,019.44

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Solution

The fourth proportional to 24,814.28, 37,219.20 and 9,019.44 is: 13,528.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,814.28 : 37,219.20 = 9,019.44 : x
  2. Step 2: Convert to fraction form
    24,814.28/37,219.20 = 9,019.44/x
  3. Step 3: Cross multiply
    24,814.28x = 37,219.20 × 9,019.44
  4. Step 4: Simplify right side
    24,814.28x = 335,696,341.25
  5. Step 5: Solve for x
    x = 335,696,341.25/24,814.28
  6. Step 6: Final answer
    x = 13,528.35

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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.