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Finding the Fourth Proportional to 21,402.57, 32,103.77 and 5,820.15

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Solution

The fourth proportional to 21,402.57, 32,103.77 and 5,820.15 is: 8,730.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,402.57 : 32,103.77 = 5,820.15 : x
  2. Step 2: Convert to fraction form
    21,402.57/32,103.77 = 5,820.15/x
  3. Step 3: Cross multiply
    21,402.57x = 32,103.77 × 5,820.15
  4. Step 4: Simplify right side
    21,402.57x = 186,848,727.86
  5. Step 5: Solve for x
    x = 186,848,727.86/21,402.57
  6. Step 6: Final answer
    x = 8,730.20

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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.