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Finding the Fourth Proportional to 16,538.78, 24,808.34 and 4,852.22

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Solution

The fourth proportional to 16,538.78, 24,808.34 and 4,852.22 is: 7,278.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,538.78 : 24,808.34 = 4,852.22 : x
  2. Step 2: Convert to fraction form
    16,538.78/24,808.34 = 4,852.22/x
  3. Step 3: Cross multiply
    16,538.78x = 24,808.34 × 4,852.22
  4. Step 4: Simplify right side
    16,538.78x = 120,375,523.51
  5. Step 5: Solve for x
    x = 120,375,523.51/16,538.78
  6. Step 6: Final answer
    x = 7,278.38

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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.