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Finding the Fourth Proportional to 19,599.16, 27,046.38 and 10,646.46

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Solution

The fourth proportional to 19,599.16, 27,046.38 and 10,646.46 is: 14,691.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,599.16 : 27,046.38 = 10,646.46 : x
  2. Step 2: Convert to fraction form
    19,599.16/27,046.38 = 10,646.46/x
  3. Step 3: Cross multiply
    19,599.16x = 27,046.38 × 10,646.46
  4. Step 4: Simplify right side
    19,599.16x = 287,948,202.81
  5. Step 5: Solve for x
    x = 287,948,202.81/19,599.16
  6. Step 6: Final answer
    x = 14,691.86

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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.