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Finding the Fourth Proportional to 15,716.16, 23,581.44 and 9,871.20

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Solution

The fourth proportional to 15,716.16, 23,581.44 and 9,871.20 is: 14,811.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,716.16 : 23,581.44 = 9,871.20 : x
  2. Step 2: Convert to fraction form
    15,716.16/23,581.44 = 9,871.20/x
  3. Step 3: Cross multiply
    15,716.16x = 23,581.44 × 9,871.20
  4. Step 4: Simplify right side
    15,716.16x = 232,777,110.53
  5. Step 5: Solve for x
    x = 232,777,110.53/15,716.16
  6. Step 6: Final answer
    x = 14,811.32

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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.