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Finding the Fourth Proportional to 21,187.76, 31,788.50 and 12,763.40

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Solution

The fourth proportional to 21,187.76, 31,788.50 and 12,763.40 is: 19,149.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,187.76 : 31,788.50 = 12,763.40 : x
  2. Step 2: Convert to fraction form
    21,187.76/31,788.50 = 12,763.40/x
  3. Step 3: Cross multiply
    21,187.76x = 31,788.50 × 12,763.40
  4. Step 4: Simplify right side
    21,187.76x = 405,729,118.14
  5. Step 5: Solve for x
    x = 405,729,118.14/21,187.76
  6. Step 6: Final answer
    x = 19,149.23

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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.