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Finding the Fourth Proportional to 20,290.64, 30,434.90 and 7,143.10

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Solution

The fourth proportional to 20,290.64, 30,434.90 and 7,143.10 is: 10,714.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,290.64 : 30,434.90 = 7,143.10 : x
  2. Step 2: Convert to fraction form
    20,290.64/30,434.90 = 7,143.10/x
  3. Step 3: Cross multiply
    20,290.64x = 30,434.90 × 7,143.10
  4. Step 4: Simplify right side
    20,290.64x = 217,399,534.19
  5. Step 5: Solve for x
    x = 217,399,534.19/20,290.64
  6. Step 6: Final answer
    x = 10,714.28

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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.