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Finding the Fourth Proportional to 16,437.68, 24,654.09 and 6,047

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Solution

The fourth proportional to 16,437.68, 24,654.09 and 6,047 is: 9,069.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,437.68 : 24,654.09 = 6,047 : x
  2. Step 2: Convert to fraction form
    16,437.68/24,654.09 = 6,047/x
  3. Step 3: Cross multiply
    16,437.68x = 24,654.09 × 6,047
  4. Step 4: Simplify right side
    16,437.68x = 149,083,282.23
  5. Step 5: Solve for x
    x = 149,083,282.23/16,437.68
  6. Step 6: Final answer
    x = 9,069.61

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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.