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Finding the Fourth Proportional to 16,019.29, 24,019.93 and 6,653

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Solution

The fourth proportional to 16,019.29, 24,019.93 and 6,653 is: 9,975.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,019.29 : 24,019.93 = 6,653 : x
  2. Step 2: Convert to fraction form
    16,019.29/24,019.93 = 6,653/x
  3. Step 3: Cross multiply
    16,019.29x = 24,019.93 × 6,653
  4. Step 4: Simplify right side
    16,019.29x = 159,804,594.29
  5. Step 5: Solve for x
    x = 159,804,594.29/16,019.29
  6. Step 6: Final answer
    x = 9,975.76

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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.