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Finding the Fourth Proportional to 22,707.14, 34,065.87 and 6,914.40

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Solution

The fourth proportional to 22,707.14, 34,065.87 and 6,914.40 is: 10,373.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,707.14 : 34,065.87 = 6,914.40 : x
  2. Step 2: Convert to fraction form
    22,707.14/34,065.87 = 6,914.40/x
  3. Step 3: Cross multiply
    22,707.14x = 34,065.87 × 6,914.40
  4. Step 4: Simplify right side
    22,707.14x = 235,544,897.85
  5. Step 5: Solve for x
    x = 235,544,897.85/22,707.14
  6. Step 6: Final answer
    x = 10,373.17

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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.