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Finding the Fourth Proportional to 21,205.50, 29,267.18 and 12,258.17

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Solution

The fourth proportional to 21,205.50, 29,267.18 and 12,258.17 is: 16,918.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,205.50 : 29,267.18 = 12,258.17 : x
  2. Step 2: Convert to fraction form
    21,205.50/29,267.18 = 12,258.17/x
  3. Step 3: Cross multiply
    21,205.50x = 29,267.18 × 12,258.17
  4. Step 4: Simplify right side
    21,205.50x = 358,761,860.23
  5. Step 5: Solve for x
    x = 358,761,860.23/21,205.50
  6. Step 6: Final answer
    x = 16,918.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.