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Finding the Fourth Proportional to 16,624.80, 22,942.08 and 9,071.28

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Solution

The fourth proportional to 16,624.80, 22,942.08 and 9,071.28 is: 12,518.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,624.80 : 22,942.08 = 9,071.28 : x
  2. Step 2: Convert to fraction form
    16,624.80/22,942.08 = 9,071.28/x
  3. Step 3: Cross multiply
    16,624.80x = 22,942.08 × 9,071.28
  4. Step 4: Simplify right side
    16,624.80x = 208,114,031.46
  5. Step 5: Solve for x
    x = 208,114,031.46/16,624.80
  6. Step 6: Final answer
    x = 12,518.29

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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.