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Finding the Fourth Proportional to 21,308.90, 31,948.76 and 11,438.24

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Solution

The fourth proportional to 21,308.90, 31,948.76 and 11,438.24 is: 17,149.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,308.90 : 31,948.76 = 11,438.24 : x
  2. Step 2: Convert to fraction form
    21,308.90/31,948.76 = 11,438.24/x
  3. Step 3: Cross multiply
    21,308.90x = 31,948.76 × 11,438.24
  4. Step 4: Simplify right side
    21,308.90x = 365,437,453.43
  5. Step 5: Solve for x
    x = 365,437,453.43/21,308.90
  6. Step 6: Final answer
    x = 17,149.53

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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.