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Finding the Fourth Proportional to 24,864.36, 37,302.81 and 9,078.06

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Solution

The fourth proportional to 24,864.36, 37,302.81 and 9,078.06 is: 13,619.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,864.36 : 37,302.81 = 9,078.06 : x
  2. Step 2: Convert to fraction form
    24,864.36/37,302.81 = 9,078.06/x
  3. Step 3: Cross multiply
    24,864.36x = 37,302.81 × 9,078.06
  4. Step 4: Simplify right side
    24,864.36x = 338,637,147.35
  5. Step 5: Solve for x
    x = 338,637,147.35/24,864.36
  6. Step 6: Final answer
    x = 13,619.38

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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.