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Finding the Fourth Proportional to 13,196.92, 19,793.46 and 4,987

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Solution

The fourth proportional to 13,196.92, 19,793.46 and 4,987 is: 7,479.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,196.92 : 19,793.46 = 4,987 : x
  2. Step 2: Convert to fraction form
    13,196.92/19,793.46 = 4,987/x
  3. Step 3: Cross multiply
    13,196.92x = 19,793.46 × 4,987
  4. Step 4: Simplify right side
    13,196.92x = 98,709,985.02
  5. Step 5: Solve for x
    x = 98,709,985.02/13,196.92
  6. Step 6: Final answer
    x = 7,479.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.