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Finding the Fourth Proportional to 15,143.13, 22,704.98 and 9,942.93

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Solution

The fourth proportional to 15,143.13, 22,704.98 and 9,942.93 is: 14,908.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,143.13 : 22,704.98 = 9,942.93 : x
  2. Step 2: Convert to fraction form
    15,143.13/22,704.98 = 9,942.93/x
  3. Step 3: Cross multiply
    15,143.13x = 22,704.98 × 9,942.93
  4. Step 4: Simplify right side
    15,143.13x = 225,753,977.08
  5. Step 5: Solve for x
    x = 225,753,977.08/15,143.13
  6. Step 6: Final answer
    x = 14,908.01

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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.