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Finding the Fourth Proportional to 19,866.08, 29,803.44 and 6,014

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Solution

The fourth proportional to 19,866.08, 29,803.44 and 6,014 is: 9,022.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,866.08 : 29,803.44 = 6,014 : x
  2. Step 2: Convert to fraction form
    19,866.08/29,803.44 = 6,014/x
  3. Step 3: Cross multiply
    19,866.08x = 29,803.44 × 6,014
  4. Step 4: Simplify right side
    19,866.08x = 179,237,888.16
  5. Step 5: Solve for x
    x = 179,237,888.16/19,866.08
  6. Step 6: Final answer
    x = 9,022.31

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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.