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Finding the Fourth Proportional to 20,101.64, 30,141.32 and 9,018.95

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Solution

The fourth proportional to 20,101.64, 30,141.32 and 9,018.95 is: 13,523.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,101.64 : 30,141.32 = 9,018.95 : x
  2. Step 2: Convert to fraction form
    20,101.64/30,141.32 = 9,018.95/x
  3. Step 3: Cross multiply
    20,101.64x = 30,141.32 × 9,018.95
  4. Step 4: Simplify right side
    20,101.64x = 271,842,862.21
  5. Step 5: Solve for x
    x = 271,842,862.21/20,101.64
  6. Step 6: Final answer
    x = 13,523.42

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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.