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Finding the Fourth Proportional to 21,064.29, 31,614.63 and 8,591.19

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Solution

The fourth proportional to 21,064.29, 31,614.63 and 8,591.19 is: 12,894.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,064.29 : 31,614.63 = 8,591.19 : x
  2. Step 2: Convert to fraction form
    21,064.29/31,614.63 = 8,591.19/x
  3. Step 3: Cross multiply
    21,064.29x = 31,614.63 × 8,591.19
  4. Step 4: Simplify right side
    21,064.29x = 271,607,293.11
  5. Step 5: Solve for x
    x = 271,607,293.11/21,064.29
  6. Step 6: Final answer
    x = 12,894.21

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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.