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Finding the Fourth Proportional to 12,301.76, 18,455.36 and 3,536

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Solution

The fourth proportional to 12,301.76, 18,455.36 and 3,536 is: 5,304.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,301.76 : 18,455.36 = 3,536 : x
  2. Step 2: Convert to fraction form
    12,301.76/18,455.36 = 3,536/x
  3. Step 3: Cross multiply
    12,301.76x = 18,455.36 × 3,536
  4. Step 4: Simplify right side
    12,301.76x = 65,258,152.96
  5. Step 5: Solve for x
    x = 65,258,152.96/12,301.76
  6. Step 6: Final answer
    x = 5,304.78

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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.