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Finding the Fourth Proportional to 20,296.10, 30,425.01 and 7,140.08

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Solution

The fourth proportional to 20,296.10, 30,425.01 and 7,140.08 is: 10,703.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,296.10 : 30,425.01 = 7,140.08 : x
  2. Step 2: Convert to fraction form
    20,296.10/30,425.01 = 7,140.08/x
  3. Step 3: Cross multiply
    20,296.10x = 30,425.01 × 7,140.08
  4. Step 4: Simplify right side
    20,296.10x = 217,237,005.40
  5. Step 5: Solve for x
    x = 217,237,005.40/20,296.10
  6. Step 6: Final answer
    x = 10,703.39

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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.