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Finding the Fourth Proportional to 16,240.23, 22,411.50 and 8,788.23

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Solution

The fourth proportional to 16,240.23, 22,411.50 and 8,788.23 is: 12,127.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,240.23 : 22,411.50 = 8,788.23 : x
  2. Step 2: Convert to fraction form
    16,240.23/22,411.50 = 8,788.23/x
  3. Step 3: Cross multiply
    16,240.23x = 22,411.50 × 8,788.23
  4. Step 4: Simplify right side
    16,240.23x = 196,957,416.65
  5. Step 5: Solve for x
    x = 196,957,416.65/16,240.23
  6. Step 6: Final answer
    x = 12,127.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.