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Finding the Fourth Proportional to 19,866.36, 29,803.86 and 6,015

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Solution

The fourth proportional to 19,866.36, 29,803.86 and 6,015 is: 9,023.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,866.36 : 29,803.86 = 6,015 : x
  2. Step 2: Convert to fraction form
    19,866.36/29,803.86 = 6,015/x
  3. Step 3: Cross multiply
    19,866.36x = 29,803.86 × 6,015
  4. Step 4: Simplify right side
    19,866.36x = 179,270,217.90
  5. Step 5: Solve for x
    x = 179,270,217.90/19,866.36
  6. Step 6: Final answer
    x = 9,023.81

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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.