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Finding the Fourth Proportional to 24,855.36, 37,282.32 and 11,700.24

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Solution

The fourth proportional to 24,855.36, 37,282.32 and 11,700.24 is: 17,550.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,855.36 : 37,282.32 = 11,700.24 : x
  2. Step 2: Convert to fraction form
    24,855.36/37,282.32 = 11,700.24/x
  3. Step 3: Cross multiply
    24,855.36x = 37,282.32 × 11,700.24
  4. Step 4: Simplify right side
    24,855.36x = 436,212,091.76
  5. Step 5: Solve for x
    x = 436,212,091.76/24,855.36
  6. Step 6: Final answer
    x = 17,550.02

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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.