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Finding the Fourth Proportional to 21,020.88, 31,509.40 and 7,867.52

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Solution

The fourth proportional to 21,020.88, 31,509.40 and 7,867.52 is: 11,793.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,020.88 : 31,509.40 = 7,867.52 : x
  2. Step 2: Convert to fraction form
    21,020.88/31,509.40 = 7,867.52/x
  3. Step 3: Cross multiply
    21,020.88x = 31,509.40 × 7,867.52
  4. Step 4: Simplify right side
    21,020.88x = 247,900,834.69
  5. Step 5: Solve for x
    x = 247,900,834.69/21,020.88
  6. Step 6: Final answer
    x = 11,793.08

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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.