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Finding the Fourth Proportional to 16,653.50, 22,983.18 and 9,582.20

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Solution

The fourth proportional to 16,653.50, 22,983.18 and 9,582.20 is: 13,224.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,653.50 : 22,983.18 = 9,582.20 : x
  2. Step 2: Convert to fraction form
    16,653.50/22,983.18 = 9,582.20/x
  3. Step 3: Cross multiply
    16,653.50x = 22,983.18 × 9,582.20
  4. Step 4: Simplify right side
    16,653.50x = 220,229,427.40
  5. Step 5: Solve for x
    x = 220,229,427.40/16,653.50
  6. Step 6: Final answer
    x = 13,224.21

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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.