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Finding the Fourth Proportional to 15,838.16, 21,857.11 and 8,765.24

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Solution

The fourth proportional to 15,838.16, 21,857.11 and 8,765.24 is: 12,096.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,838.16 : 21,857.11 = 8,765.24 : x
  2. Step 2: Convert to fraction form
    15,838.16/21,857.11 = 8,765.24/x
  3. Step 3: Cross multiply
    15,838.16x = 21,857.11 × 8,765.24
  4. Step 4: Simplify right side
    15,838.16x = 191,582,683.66
  5. Step 5: Solve for x
    x = 191,582,683.66/15,838.16
  6. Step 6: Final answer
    x = 12,096.28

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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.