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Finding the Fourth Proportional to 19,709.65, 29,569.20 and 6,562.14

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Solution

The fourth proportional to 19,709.65, 29,569.20 and 6,562.14 is: 9,844.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,709.65 : 29,569.20 = 6,562.14 : x
  2. Step 2: Convert to fraction form
    19,709.65/29,569.20 = 6,562.14/x
  3. Step 3: Cross multiply
    19,709.65x = 29,569.20 × 6,562.14
  4. Step 4: Simplify right side
    19,709.65x = 194,037,230.09
  5. Step 5: Solve for x
    x = 194,037,230.09/19,709.65
  6. Step 6: Final answer
    x = 9,844.78

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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.