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Finding the Fourth Proportional to 16,448.84, 24,675.66 and 5,200.38

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Solution

The fourth proportional to 16,448.84, 24,675.66 and 5,200.38 is: 7,801.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,448.84 : 24,675.66 = 5,200.38 : x
  2. Step 2: Convert to fraction form
    16,448.84/24,675.66 = 5,200.38/x
  3. Step 3: Cross multiply
    16,448.84x = 24,675.66 × 5,200.38
  4. Step 4: Simplify right side
    16,448.84x = 128,322,808.75
  5. Step 5: Solve for x
    x = 128,322,808.75/16,448.84
  6. Step 6: Final answer
    x = 7,801.33

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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.