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Finding the Fourth Proportional to 22,707.94, 34,065.12 and 7,914.70

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Solution

The fourth proportional to 22,707.94, 34,065.12 and 7,914.70 is: 11,873.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,707.94 : 34,065.12 = 7,914.70 : x
  2. Step 2: Convert to fraction form
    22,707.94/34,065.12 = 7,914.70/x
  3. Step 3: Cross multiply
    22,707.94x = 34,065.12 × 7,914.70
  4. Step 4: Simplify right side
    22,707.94x = 269,615,205.26
  5. Step 5: Solve for x
    x = 269,615,205.26/22,707.94
  6. Step 6: Final answer
    x = 11,873.17

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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.