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Finding the Fourth Proportional to 16,589.98, 24,878.49 and 7,349.50

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Solution

The fourth proportional to 16,589.98, 24,878.49 and 7,349.50 is: 11,021.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,589.98 : 24,878.49 = 7,349.50 : x
  2. Step 2: Convert to fraction form
    16,589.98/24,878.49 = 7,349.50/x
  3. Step 3: Cross multiply
    16,589.98x = 24,878.49 × 7,349.50
  4. Step 4: Simplify right side
    16,589.98x = 182,844,462.26
  5. Step 5: Solve for x
    x = 182,844,462.26/16,589.98
  6. Step 6: Final answer
    x = 11,021.38

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1.5x scale

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.