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Finding the Fourth Proportional to 16,029.14, 22,113.01 and 9,311.12

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Solution

The fourth proportional to 16,029.14, 22,113.01 and 9,311.12 is: 12,845.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,029.14 : 22,113.01 = 9,311.12 : x
  2. Step 2: Convert to fraction form
    16,029.14/22,113.01 = 9,311.12/x
  3. Step 3: Cross multiply
    16,029.14x = 22,113.01 × 9,311.12
  4. Step 4: Simplify right side
    16,029.14x = 205,896,889.67
  5. Step 5: Solve for x
    x = 205,896,889.67/16,029.14
  6. Step 6: Final answer
    x = 12,845.16

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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.