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Finding the Fourth Proportional to 14,707.43, 22,061.13 and 5,942.34

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Solution

The fourth proportional to 14,707.43, 22,061.13 and 5,942.34 is: 8,913.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,707.43 : 22,061.13 = 5,942.34 : x
  2. Step 2: Convert to fraction form
    14,707.43/22,061.13 = 5,942.34/x
  3. Step 3: Cross multiply
    14,707.43x = 22,061.13 × 5,942.34
  4. Step 4: Simplify right side
    14,707.43x = 131,094,735.24
  5. Step 5: Solve for x
    x = 131,094,735.24/14,707.43
  6. Step 6: Final answer
    x = 8,913.50

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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.