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Finding the Fourth Proportional to 19,809.69, 29,695.92 and 6,652.83

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Solution

The fourth proportional to 19,809.69, 29,695.92 and 6,652.83 is: 9,972.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,809.69 : 29,695.92 = 6,652.83 : x
  2. Step 2: Convert to fraction form
    19,809.69/29,695.92 = 6,652.83/x
  3. Step 3: Cross multiply
    19,809.69x = 29,695.92 × 6,652.83
  4. Step 4: Simplify right side
    19,809.69x = 197,561,907.45
  5. Step 5: Solve for x
    x = 197,561,907.45/19,809.69
  6. Step 6: Final answer
    x = 9,972.99

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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.