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Finding the Fourth Proportional to 16,094.90, 22,210.89 and 9,021.32

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Solution

The fourth proportional to 16,094.90, 22,210.89 and 9,021.32 is: 12,449.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,094.90 : 22,210.89 = 9,021.32 : x
  2. Step 2: Convert to fraction form
    16,094.90/22,210.89 = 9,021.32/x
  3. Step 3: Cross multiply
    16,094.90x = 22,210.89 × 9,021.32
  4. Step 4: Simplify right side
    16,094.90x = 200,371,435.12
  5. Step 5: Solve for x
    x = 200,371,435.12/16,094.90
  6. Step 6: Final answer
    x = 12,449.38

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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.