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Finding the Fourth Proportional to 13,691.64, 18,905.18 and 10,715.96

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Solution

The fourth proportional to 13,691.64, 18,905.18 and 10,715.96 is: 14,796.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,691.64 : 18,905.18 = 10,715.96 : x
  2. Step 2: Convert to fraction form
    13,691.64/18,905.18 = 10,715.96/x
  3. Step 3: Cross multiply
    13,691.64x = 18,905.18 × 10,715.96
  4. Step 4: Simplify right side
    13,691.64x = 202,587,152.67
  5. Step 5: Solve for x
    x = 202,587,152.67/13,691.64
  6. Step 6: Final answer
    x = 14,796.41

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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.