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Finding the Fourth Proportional to 20,093.18, 30,140.00 and 9,564.18

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Solution

The fourth proportional to 20,093.18, 30,140.00 and 9,564.18 is: 14,346.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,093.18 : 30,140.00 = 9,564.18 : x
  2. Step 2: Convert to fraction form
    20,093.18/30,140.00 = 9,564.18/x
  3. Step 3: Cross multiply
    20,093.18x = 30,140.00 × 9,564.18
  4. Step 4: Simplify right side
    20,093.18x = 288,264,337.38
  5. Step 5: Solve for x
    x = 288,264,337.38/20,093.18
  6. Step 6: Final answer
    x = 14,346.38

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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.