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Finding the Fourth Proportional to 20,948.28, 31,421.61 and 7,097.28

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Solution

The fourth proportional to 20,948.28, 31,421.61 and 7,097.28 is: 10,645.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,948.28 : 31,421.61 = 7,097.28 : x
  2. Step 2: Convert to fraction form
    20,948.28/31,421.61 = 7,097.28/x
  3. Step 3: Cross multiply
    20,948.28x = 31,421.61 × 7,097.28
  4. Step 4: Simplify right side
    20,948.28x = 223,007,964.22
  5. Step 5: Solve for x
    x = 223,007,964.22/20,948.28
  6. Step 6: Final answer
    x = 10,645.65

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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.