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Finding the Fourth Proportional to 10,871.66, 16,274.64 and 9,832.14

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Solution

The fourth proportional to 10,871.66, 16,274.64 and 9,832.14 is: 14,718.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,871.66 : 16,274.64 = 9,832.14 : x
  2. Step 2: Convert to fraction form
    10,871.66/16,274.64 = 9,832.14/x
  3. Step 3: Cross multiply
    10,871.66x = 16,274.64 × 9,832.14
  4. Step 4: Simplify right side
    10,871.66x = 160,014,538.93
  5. Step 5: Solve for x
    x = 160,014,538.93/10,871.66
  6. Step 6: Final answer
    x = 14,718.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.