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Finding the Fourth Proportional to 16,606.65, 24,924.57 and 9,219.45

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Solution

The fourth proportional to 16,606.65, 24,924.57 and 9,219.45 is: 13,837.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,606.65 : 24,924.57 = 9,219.45 : x
  2. Step 2: Convert to fraction form
    16,606.65/24,924.57 = 9,219.45/x
  3. Step 3: Cross multiply
    16,606.65x = 24,924.57 × 9,219.45
  4. Step 4: Simplify right side
    16,606.65x = 229,790,826.89
  5. Step 5: Solve for x
    x = 229,790,826.89/16,606.65
  6. Step 6: Final answer
    x = 13,837.28

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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.