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Finding the Fourth Proportional to 20,047.12, 30,070.04 and 9,524.70

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Solution

The fourth proportional to 20,047.12, 30,070.04 and 9,524.70 is: 14,286.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,047.12 : 30,070.04 = 9,524.70 : x
  2. Step 2: Convert to fraction form
    20,047.12/30,070.04 = 9,524.70/x
  3. Step 3: Cross multiply
    20,047.12x = 30,070.04 × 9,524.70
  4. Step 4: Simplify right side
    20,047.12x = 286,408,062.36
  5. Step 5: Solve for x
    x = 286,408,062.36/20,047.12
  6. Step 6: Final answer
    x = 14,286.75

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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.