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Finding the Fourth Proportional to 24,559.36, 36,837.72 and 7,919

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Solution

The fourth proportional to 24,559.36, 36,837.72 and 7,919 is: 11,878.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,559.36 : 36,837.72 = 7,919 : x
  2. Step 2: Convert to fraction form
    24,559.36/36,837.72 = 7,919/x
  3. Step 3: Cross multiply
    24,559.36x = 36,837.72 × 7,919
  4. Step 4: Simplify right side
    24,559.36x = 291,717,904.68
  5. Step 5: Solve for x
    x = 291,717,904.68/24,559.36
  6. Step 6: Final answer
    x = 11,878.07

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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.