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Finding the Fourth Proportional to 21,187.64, 31,780.44 and 7,863.23

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Solution

The fourth proportional to 21,187.64, 31,780.44 and 7,863.23 is: 11,794.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,187.64 : 31,780.44 = 7,863.23 : x
  2. Step 2: Convert to fraction form
    21,187.64/31,780.44 = 7,863.23/x
  3. Step 3: Cross multiply
    21,187.64x = 31,780.44 × 7,863.23
  4. Step 4: Simplify right side
    21,187.64x = 249,897,026.15
  5. Step 5: Solve for x
    x = 249,897,026.15/21,187.64
  6. Step 6: Final answer
    x = 11,794.47

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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.