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Finding the Fourth Proportional to 20,100, 30,152.16 and 9,011.64

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Solution

The fourth proportional to 20,100, 30,152.16 and 9,011.64 is: 13,518.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,100 : 30,152.16 = 9,011.64 : x
  2. Step 2: Convert to fraction form
    20,100/30,152.16 = 9,011.64/x
  3. Step 3: Cross multiply
    20,100x = 30,152.16 × 9,011.64
  4. Step 4: Simplify right side
    20,100x = 271,720,411.14
  5. Step 5: Solve for x
    x = 271,720,411.14/20,100
  6. Step 6: Final answer
    x = 13,518.43

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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.