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Finding the Fourth Proportional to 20,267.93, 30,394.14 and 9,735.02

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Solution

The fourth proportional to 20,267.93, 30,394.14 and 9,735.02 is: 14,598.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,267.93 : 30,394.14 = 9,735.02 : x
  2. Step 2: Convert to fraction form
    20,267.93/30,394.14 = 9,735.02/x
  3. Step 3: Cross multiply
    20,267.93x = 30,394.14 × 9,735.02
  4. Step 4: Simplify right side
    20,267.93x = 295,887,408.81
  5. Step 5: Solve for x
    x = 295,887,408.81/20,267.93
  6. Step 6: Final answer
    x = 14,598.80

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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.