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Finding the Fourth Proportional to 16,405.94, 24,607.35 and 6,542.58

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Solution

The fourth proportional to 16,405.94, 24,607.35 and 6,542.58 is: 9,813.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,405.94 : 24,607.35 = 6,542.58 : x
  2. Step 2: Convert to fraction form
    16,405.94/24,607.35 = 6,542.58/x
  3. Step 3: Cross multiply
    16,405.94x = 24,607.35 × 6,542.58
  4. Step 4: Simplify right side
    16,405.94x = 160,995,555.96
  5. Step 5: Solve for x
    x = 160,995,555.96/16,405.94
  6. Step 6: Final answer
    x = 9,813.25

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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.