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Finding the Fourth Proportional to 20,938.20, 31,407.30 and 9,245.40

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Solution

The fourth proportional to 20,938.20, 31,407.30 and 9,245.40 is: 13,868.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,938.20 : 31,407.30 = 9,245.40 : x
  2. Step 2: Convert to fraction form
    20,938.20/31,407.30 = 9,245.40/x
  3. Step 3: Cross multiply
    20,938.20x = 31,407.30 × 9,245.40
  4. Step 4: Simplify right side
    20,938.20x = 290,373,051.42
  5. Step 5: Solve for x
    x = 290,373,051.42/20,938.20
  6. Step 6: Final answer
    x = 13,868.10

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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.