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Finding the Fourth Proportional to 10,174.93, 15,285.84 and 9,754.56

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Solution

The fourth proportional to 10,174.93, 15,285.84 and 9,754.56 is: 14,654.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,174.93 : 15,285.84 = 9,754.56 : x
  2. Step 2: Convert to fraction form
    10,174.93/15,285.84 = 9,754.56/x
  3. Step 3: Cross multiply
    10,174.93x = 15,285.84 × 9,754.56
  4. Step 4: Simplify right side
    10,174.93x = 149,106,643.43
  5. Step 5: Solve for x
    x = 149,106,643.43/10,174.93
  6. Step 6: Final answer
    x = 14,654.32

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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.