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Finding the Fourth Proportional to 15,191.36, 22,786.84 and 5,196

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Solution

The fourth proportional to 15,191.36, 22,786.84 and 5,196 is: 7,793.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,191.36 : 22,786.84 = 5,196 : x
  2. Step 2: Convert to fraction form
    15,191.36/22,786.84 = 5,196/x
  3. Step 3: Cross multiply
    15,191.36x = 22,786.84 × 5,196
  4. Step 4: Simplify right side
    15,191.36x = 118,400,394.66
  5. Step 5: Solve for x
    x = 118,400,394.66/15,191.36
  6. Step 6: Final answer
    x = 7,793.93

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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.