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Finding the Fourth Proportional to 13,232.34, 19,863.12 and 7,691.94

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Solution

The fourth proportional to 13,232.34, 19,863.12 and 7,691.94 is: 11,546.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,232.34 : 19,863.12 = 7,691.94 : x
  2. Step 2: Convert to fraction form
    13,232.34/19,863.12 = 7,691.94/x
  3. Step 3: Cross multiply
    13,232.34x = 19,863.12 × 7,691.94
  4. Step 4: Simplify right side
    13,232.34x = 152,785,927.25
  5. Step 5: Solve for x
    x = 152,785,927.25/13,232.34
  6. Step 6: Final answer
    x = 11,546.40

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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.