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Finding the Fourth Proportional to 15,820.17, 21,832.77 and 9,105.63

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Solution

The fourth proportional to 15,820.17, 21,832.77 and 9,105.63 is: 12,566.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,820.17 : 21,832.77 = 9,105.63 : x
  2. Step 2: Convert to fraction form
    15,820.17/21,832.77 = 9,105.63/x
  3. Step 3: Cross multiply
    15,820.17x = 21,832.77 × 9,105.63
  4. Step 4: Simplify right side
    15,820.17x = 198,801,125.50
  5. Step 5: Solve for x
    x = 198,801,125.50/15,820.17
  6. Step 6: Final answer
    x = 12,566.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.