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Finding the Fourth Proportional to 22,430.16, 33,620.09 and 9,100.05

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Solution

The fourth proportional to 22,430.16, 33,620.09 and 9,100.05 is: 13,639.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,430.16 : 33,620.09 = 9,100.05 : x
  2. Step 2: Convert to fraction form
    22,430.16/33,620.09 = 9,100.05/x
  3. Step 3: Cross multiply
    22,430.16x = 33,620.09 × 9,100.05
  4. Step 4: Simplify right side
    22,430.16x = 305,944,454.50
  5. Step 5: Solve for x
    x = 305,944,454.50/22,430.16
  6. Step 6: Final answer
    x = 13,639.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.