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Finding the Fourth Proportional to 24,878.27, 37,322.32 and 7,109.09

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Solution

The fourth proportional to 24,878.27, 37,322.32 and 7,109.09 is: 10,665.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,878.27 : 37,322.32 = 7,109.09 : x
  2. Step 2: Convert to fraction form
    24,878.27/37,322.32 = 7,109.09/x
  3. Step 3: Cross multiply
    24,878.27x = 37,322.32 × 7,109.09
  4. Step 4: Simplify right side
    24,878.27x = 265,327,545.28
  5. Step 5: Solve for x
    x = 265,327,545.28/24,878.27
  6. Step 6: Final answer
    x = 10,665.03

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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.