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Finding the Fourth Proportional to 16,523.49, 22,794.98 and 9,809.40

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Solution

The fourth proportional to 16,523.49, 22,794.98 and 9,809.40 is: 13,532.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,523.49 : 22,794.98 = 9,809.40 : x
  2. Step 2: Convert to fraction form
    16,523.49/22,794.98 = 9,809.40/x
  3. Step 3: Cross multiply
    16,523.49x = 22,794.98 × 9,809.40
  4. Step 4: Simplify right side
    16,523.49x = 223,605,027.77
  5. Step 5: Solve for x
    x = 223,605,027.77/16,523.49
  6. Step 6: Final answer
    x = 13,532.55

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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.