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Finding the Fourth Proportional to 19,699.71, 29,530.71 and 6,542.85

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Solution

The fourth proportional to 19,699.71, 29,530.71 and 6,542.85 is: 9,808.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,699.71 : 29,530.71 = 6,542.85 : x
  2. Step 2: Convert to fraction form
    19,699.71/29,530.71 = 6,542.85/x
  3. Step 3: Cross multiply
    19,699.71x = 29,530.71 × 6,542.85
  4. Step 4: Simplify right side
    19,699.71x = 193,215,005.92
  5. Step 5: Solve for x
    x = 193,215,005.92/19,699.71
  6. Step 6: Final answer
    x = 9,808.01

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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.