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Finding the Fourth Proportional to 16,389.01, 24,616.64 and 9,827.65

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Solution

The fourth proportional to 16,389.01, 24,616.64 and 9,827.65 is: 14,761.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,389.01 : 24,616.64 = 9,827.65 : x
  2. Step 2: Convert to fraction form
    16,389.01/24,616.64 = 9,827.65/x
  3. Step 3: Cross multiply
    16,389.01x = 24,616.64 × 9,827.65
  4. Step 4: Simplify right side
    16,389.01x = 241,923,722.10
  5. Step 5: Solve for x
    x = 241,923,722.10/16,389.01
  6. Step 6: Final answer
    x = 14,761.34

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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.