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Finding the Fourth Proportional to 16,055.80, 24,083.70 and 4,209.55

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Solution

The fourth proportional to 16,055.80, 24,083.70 and 4,209.55 is: 6,314.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,055.80 : 24,083.70 = 4,209.55 : x
  2. Step 2: Convert to fraction form
    16,055.80/24,083.70 = 4,209.55/x
  3. Step 3: Cross multiply
    16,055.80x = 24,083.70 × 4,209.55
  4. Step 4: Simplify right side
    16,055.80x = 101,381,539.34
  5. Step 5: Solve for x
    x = 101,381,539.34/16,055.80
  6. Step 6: Final answer
    x = 6,314.33

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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.