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Finding the Fourth Proportional to 22,157.50, 33,258.14 and 9,686.13

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Solution

The fourth proportional to 22,157.50, 33,258.14 and 9,686.13 is: 14,538.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,157.50 : 33,258.14 = 9,686.13 : x
  2. Step 2: Convert to fraction form
    22,157.50/33,258.14 = 9,686.13/x
  3. Step 3: Cross multiply
    22,157.50x = 33,258.14 × 9,686.13
  4. Step 4: Simplify right side
    22,157.50x = 322,142,772.33
  5. Step 5: Solve for x
    x = 322,142,772.33/22,157.50
  6. Step 6: Final answer
    x = 14,538.77

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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.