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Finding the Fourth Proportional to 16,521.92, 22,798.92 and 9,809.20

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Solution

The fourth proportional to 16,521.92, 22,798.92 and 9,809.20 is: 13,535.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,521.92 : 22,798.92 = 9,809.20 : x
  2. Step 2: Convert to fraction form
    16,521.92/22,798.92 = 9,809.20/x
  3. Step 3: Cross multiply
    16,521.92x = 22,798.92 × 9,809.20
  4. Step 4: Simplify right side
    16,521.92x = 223,639,176.17
  5. Step 5: Solve for x
    x = 223,639,176.17/16,521.92
  6. Step 6: Final answer
    x = 13,535.90

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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.