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Finding the Fourth Proportional to 16,094.50, 22,208.61 and 9,019.90

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Solution

The fourth proportional to 16,094.50, 22,208.61 and 9,019.90 is: 12,446.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,094.50 : 22,208.61 = 9,019.90 : x
  2. Step 2: Convert to fraction form
    16,094.50/22,208.61 = 9,019.90/x
  3. Step 3: Cross multiply
    16,094.50x = 22,208.61 × 9,019.90
  4. Step 4: Simplify right side
    16,094.50x = 200,319,441.34
  5. Step 5: Solve for x
    x = 200,319,441.34/16,094.50
  6. Step 6: Final answer
    x = 12,446.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.