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Finding the Fourth Proportional to 14,884.68, 22,327.08 and 5,024

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Solution

The fourth proportional to 14,884.68, 22,327.08 and 5,024 is: 7,536.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,884.68 : 22,327.08 = 5,024 : x
  2. Step 2: Convert to fraction form
    14,884.68/22,327.08 = 5,024/x
  3. Step 3: Cross multiply
    14,884.68x = 22,327.08 × 5,024
  4. Step 4: Simplify right side
    14,884.68x = 112,171,249.92
  5. Step 5: Solve for x
    x = 112,171,249.92/14,884.68
  6. Step 6: Final answer
    x = 7,536.02

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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.