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Finding the Fourth Proportional to 20,875.90, 31,317.09 and 7,023.82

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Solution

The fourth proportional to 20,875.90, 31,317.09 and 7,023.82 is: 10,536.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,875.90 : 31,317.09 = 7,023.82 : x
  2. Step 2: Convert to fraction form
    20,875.90/31,317.09 = 7,023.82/x
  3. Step 3: Cross multiply
    20,875.90x = 31,317.09 × 7,023.82
  4. Step 4: Simplify right side
    20,875.90x = 219,965,603.08
  5. Step 5: Solve for x
    x = 219,965,603.08/20,875.90
  6. Step 6: Final answer
    x = 10,536.82

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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.