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Finding the Fourth Proportional to 16,235, 22,401.22 and 10,262.46

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Solution

The fourth proportional to 16,235, 22,401.22 and 10,262.46 is: 14,160.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,235 : 22,401.22 = 10,262.46 : x
  2. Step 2: Convert to fraction form
    16,235/22,401.22 = 10,262.46/x
  3. Step 3: Cross multiply
    16,235x = 22,401.22 × 10,262.46
  4. Step 4: Simplify right side
    16,235x = 229,891,624.20
  5. Step 5: Solve for x
    x = 229,891,624.20/16,235
  6. Step 6: Final answer
    x = 14,160.25

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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.