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Finding the Fourth Proportional to 22,645.50, 33,970.14 and 7,063.14

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Solution

The fourth proportional to 22,645.50, 33,970.14 and 7,063.14 is: 10,595.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,645.50 : 33,970.14 = 7,063.14 : x
  2. Step 2: Convert to fraction form
    22,645.50/33,970.14 = 7,063.14/x
  3. Step 3: Cross multiply
    22,645.50x = 33,970.14 × 7,063.14
  4. Step 4: Simplify right side
    22,645.50x = 239,935,854.64
  5. Step 5: Solve for x
    x = 239,935,854.64/22,645.50
  6. Step 6: Final answer
    x = 10,595.30

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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.