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Finding the Fourth Proportional to 24,808.19, 37,190.41 and 9,214.88

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Solution

The fourth proportional to 24,808.19, 37,190.41 and 9,214.88 is: 13,814.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,808.19 : 37,190.41 = 9,214.88 : x
  2. Step 2: Convert to fraction form
    24,808.19/37,190.41 = 9,214.88/x
  3. Step 3: Cross multiply
    24,808.19x = 37,190.41 × 9,214.88
  4. Step 4: Simplify right side
    24,808.19x = 342,704,956.31
  5. Step 5: Solve for x
    x = 342,704,956.31/24,808.19
  6. Step 6: Final answer
    x = 13,814.19

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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.