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Finding the Fourth Proportional to 15,754.94, 23,632.61 and 4,661.87

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Solution

The fourth proportional to 15,754.94, 23,632.61 and 4,661.87 is: 6,992.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,754.94 : 23,632.61 = 4,661.87 : x
  2. Step 2: Convert to fraction form
    15,754.94/23,632.61 = 4,661.87/x
  3. Step 3: Cross multiply
    15,754.94x = 23,632.61 × 4,661.87
  4. Step 4: Simplify right side
    15,754.94x = 110,172,014.11
  5. Step 5: Solve for x
    x = 110,172,014.11/15,754.94
  6. Step 6: Final answer
    x = 6,992.86

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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.