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Finding the Fourth Proportional to 16,097.88, 22,217.10 and 10,803.48

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Solution

The fourth proportional to 16,097.88, 22,217.10 and 10,803.48 is: 14,910.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,097.88 : 22,217.10 = 10,803.48 : x
  2. Step 2: Convert to fraction form
    16,097.88/22,217.10 = 10,803.48/x
  3. Step 3: Cross multiply
    16,097.88x = 22,217.10 × 10,803.48
  4. Step 4: Simplify right side
    16,097.88x = 240,021,995.51
  5. Step 5: Solve for x
    x = 240,021,995.51/16,097.88
  6. Step 6: Final answer
    x = 14,910.16

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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.