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Finding the Fourth Proportional to 24,242.77, 36,357.05 and 9,448.16

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Solution

The fourth proportional to 24,242.77, 36,357.05 and 9,448.16 is: 14,169.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,242.77 : 36,357.05 = 9,448.16 : x
  2. Step 2: Convert to fraction form
    24,242.77/36,357.05 = 9,448.16/x
  3. Step 3: Cross multiply
    24,242.77x = 36,357.05 × 9,448.16
  4. Step 4: Simplify right side
    24,242.77x = 343,507,067.36
  5. Step 5: Solve for x
    x = 343,507,067.36/24,242.77
  6. Step 6: Final answer
    x = 14,169.46

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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.