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Finding the Fourth Proportional to 19,569.42, 29,353.77 and 7,882.34

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Solution

The fourth proportional to 19,569.42, 29,353.77 and 7,882.34 is: 11,823.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,569.42 : 29,353.77 = 7,882.34 : x
  2. Step 2: Convert to fraction form
    19,569.42/29,353.77 = 7,882.34/x
  3. Step 3: Cross multiply
    19,569.42x = 29,353.77 × 7,882.34
  4. Step 4: Simplify right side
    19,569.42x = 231,376,248.65
  5. Step 5: Solve for x
    x = 231,376,248.65/19,569.42
  6. Step 6: Final answer
    x = 11,823.36

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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.