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Finding the Fourth Proportional to 24,028.29, 36,055.36 and 9,998

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Solution

The fourth proportional to 24,028.29, 36,055.36 and 9,998 is: 15,002.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,028.29 : 36,055.36 = 9,998 : x
  2. Step 2: Convert to fraction form
    24,028.29/36,055.36 = 9,998/x
  3. Step 3: Cross multiply
    24,028.29x = 36,055.36 × 9,998
  4. Step 4: Simplify right side
    24,028.29x = 360,481,489.28
  5. Step 5: Solve for x
    x = 360,481,489.28/24,028.29
  6. Step 6: Final answer
    x = 15,002.38

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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.