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Finding the Fourth Proportional to 19,713.78, 29,554.34 and 7,860.24

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Solution

The fourth proportional to 19,713.78, 29,554.34 and 7,860.24 is: 11,783.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,713.78 : 29,554.34 = 7,860.24 : x
  2. Step 2: Convert to fraction form
    19,713.78/29,554.34 = 7,860.24/x
  3. Step 3: Cross multiply
    19,713.78x = 29,554.34 × 7,860.24
  4. Step 4: Simplify right side
    19,713.78x = 232,304,166.14
  5. Step 5: Solve for x
    x = 232,304,166.14/19,713.78
  6. Step 6: Final answer
    x = 11,783.85

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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.