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Finding the Fourth Proportional to 16,041, 22,126.86 and 10,366.68

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Solution

The fourth proportional to 16,041, 22,126.86 and 10,366.68 is: 14,299.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,041 : 22,126.86 = 10,366.68 : x
  2. Step 2: Convert to fraction form
    16,041/22,126.86 = 10,366.68/x
  3. Step 3: Cross multiply
    16,041x = 22,126.86 × 10,366.68
  4. Step 4: Simplify right side
    16,041x = 229,382,077.02
  5. Step 5: Solve for x
    x = 229,382,077.02/16,041
  6. Step 6: Final answer
    x = 14,299.74

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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.