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Finding the Fourth Proportional to 15,906.53, 23,871.68 and 6,065.03

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Solution

The fourth proportional to 15,906.53, 23,871.68 and 6,065.03 is: 9,102.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,906.53 : 23,871.68 = 6,065.03 : x
  2. Step 2: Convert to fraction form
    15,906.53/23,871.68 = 6,065.03/x
  3. Step 3: Cross multiply
    15,906.53x = 23,871.68 × 6,065.03
  4. Step 4: Simplify right side
    15,906.53x = 144,782,305.67
  5. Step 5: Solve for x
    x = 144,782,305.67/15,906.53
  6. Step 6: Final answer
    x = 9,102.07

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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.