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Finding the Fourth Proportional to 15,827.85, 21,842.64 and 8,754.24

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Solution

The fourth proportional to 15,827.85, 21,842.64 and 8,754.24 is: 12,080.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,827.85 : 21,842.64 = 8,754.24 : x
  2. Step 2: Convert to fraction form
    15,827.85/21,842.64 = 8,754.24/x
  3. Step 3: Cross multiply
    15,827.85x = 21,842.64 × 8,754.24
  4. Step 4: Simplify right side
    15,827.85x = 191,215,712.79
  5. Step 5: Solve for x
    x = 191,215,712.79/15,827.85
  6. Step 6: Final answer
    x = 12,080.97

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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.