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Finding the Fourth Proportional to 15,842.20, 21,862.26 and 8,769.68

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Solution

The fourth proportional to 15,842.20, 21,862.26 and 8,769.68 is: 12,102.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,842.20 : 21,862.26 = 8,769.68 : x
  2. Step 2: Convert to fraction form
    15,842.20/21,862.26 = 8,769.68/x
  3. Step 3: Cross multiply
    15,842.20x = 21,862.26 × 8,769.68
  4. Step 4: Simplify right side
    15,842.20x = 191,725,024.28
  5. Step 5: Solve for x
    x = 191,725,024.28/15,842.20
  6. Step 6: Final answer
    x = 12,102.17

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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.