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Finding the Fourth Proportional to 16,530.25, 24,795.51 and 6,142

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Solution

The fourth proportional to 16,530.25, 24,795.51 and 6,142 is: 9,213.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,530.25 : 24,795.51 = 6,142 : x
  2. Step 2: Convert to fraction form
    16,530.25/24,795.51 = 6,142/x
  3. Step 3: Cross multiply
    16,530.25x = 24,795.51 × 6,142
  4. Step 4: Simplify right side
    16,530.25x = 152,294,022.42
  5. Step 5: Solve for x
    x = 152,294,022.42/16,530.25
  6. Step 6: Final answer
    x = 9,213.05

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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.