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Finding the Fourth Proportional to 20,098.01, 30,152.91 and 9,002.23

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Solution

The fourth proportional to 20,098.01, 30,152.91 and 9,002.23 is: 13,505.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,098.01 : 30,152.91 = 9,002.23 : x
  2. Step 2: Convert to fraction form
    20,098.01/30,152.91 = 9,002.23/x
  3. Step 3: Cross multiply
    20,098.01x = 30,152.91 × 9,002.23
  4. Step 4: Simplify right side
    20,098.01x = 271,443,430.99
  5. Step 5: Solve for x
    x = 271,443,430.99/20,098.01
  6. Step 6: Final answer
    x = 13,505.99

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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.