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Finding the Fourth Proportional to 16,538.50, 24,808.15 and 4,852.09

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Solution

The fourth proportional to 16,538.50, 24,808.15 and 4,852.09 is: 7,278.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,538.50 : 24,808.15 = 4,852.09 : x
  2. Step 2: Convert to fraction form
    16,538.50/24,808.15 = 4,852.09/x
  3. Step 3: Cross multiply
    16,538.50x = 24,808.15 × 4,852.09
  4. Step 4: Simplify right side
    16,538.50x = 120,371,320.58
  5. Step 5: Solve for x
    x = 120,371,320.58/16,538.50
  6. Step 6: Final answer
    x = 7,278.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.