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Finding the Fourth Proportional to 16,508.88, 24,764.32 and 6,648.16

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Solution

The fourth proportional to 16,508.88, 24,764.32 and 6,648.16 is: 9,972.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,508.88 : 24,764.32 = 6,648.16 : x
  2. Step 2: Convert to fraction form
    16,508.88/24,764.32 = 6,648.16/x
  3. Step 3: Cross multiply
    16,508.88x = 24,764.32 × 6,648.16
  4. Step 4: Simplify right side
    16,508.88x = 164,637,161.65
  5. Step 5: Solve for x
    x = 164,637,161.65/16,508.88
  6. Step 6: Final answer
    x = 9,972.64

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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.