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Finding the Fourth Proportional to 21,115.42, 31,677.64 and 7,788.46

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Solution

The fourth proportional to 21,115.42, 31,677.64 and 7,788.46 is: 11,684.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,115.42 : 31,677.64 = 7,788.46 : x
  2. Step 2: Convert to fraction form
    21,115.42/31,677.64 = 7,788.46/x
  3. Step 3: Cross multiply
    21,115.42x = 31,677.64 × 7,788.46
  4. Step 4: Simplify right side
    21,115.42x = 246,720,032.03
  5. Step 5: Solve for x
    x = 246,720,032.03/21,115.42
  6. Step 6: Final answer
    x = 11,684.35

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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.