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Finding the Fourth Proportional to 15,754.11, 21,740.16 and 9,039.65

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Solution

The fourth proportional to 15,754.11, 21,740.16 and 9,039.65 is: 12,474.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,754.11 : 21,740.16 = 9,039.65 : x
  2. Step 2: Convert to fraction form
    15,754.11/21,740.16 = 9,039.65/x
  3. Step 3: Cross multiply
    15,754.11x = 21,740.16 × 9,039.65
  4. Step 4: Simplify right side
    15,754.11x = 196,523,328.64
  5. Step 5: Solve for x
    x = 196,523,328.64/15,754.11
  6. Step 6: Final answer
    x = 12,474.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.