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Finding the Fourth Proportional to 25,219.36, 37,824.16 and 9,633.28

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Solution

The fourth proportional to 25,219.36, 37,824.16 and 9,633.28 is: 14,448.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,219.36 : 37,824.16 = 9,633.28 : x
  2. Step 2: Convert to fraction form
    25,219.36/37,824.16 = 9,633.28/x
  3. Step 3: Cross multiply
    25,219.36x = 37,824.16 × 9,633.28
  4. Step 4: Simplify right side
    25,219.36x = 364,370,724.04
  5. Step 5: Solve for x
    x = 364,370,724.04/25,219.36
  6. Step 6: Final answer
    x = 14,448.06

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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.