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Finding the Fourth Proportional to 19,842.77, 29,765.07 and 6,695.26

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Solution

The fourth proportional to 19,842.77, 29,765.07 and 6,695.26 is: 10,043.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,842.77 : 29,765.07 = 6,695.26 : x
  2. Step 2: Convert to fraction form
    19,842.77/29,765.07 = 6,695.26/x
  3. Step 3: Cross multiply
    19,842.77x = 29,765.07 × 6,695.26
  4. Step 4: Simplify right side
    19,842.77x = 199,284,808.16
  5. Step 5: Solve for x
    x = 199,284,808.16/19,842.77
  6. Step 6: Final answer
    x = 10,043.19

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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.