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Finding the Fourth Proportional to 15,311.94, 22,965.28 and 4,216.16

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Solution

The fourth proportional to 15,311.94, 22,965.28 and 4,216.16 is: 6,323.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,311.94 : 22,965.28 = 4,216.16 : x
  2. Step 2: Convert to fraction form
    15,311.94/22,965.28 = 4,216.16/x
  3. Step 3: Cross multiply
    15,311.94x = 22,965.28 × 4,216.16
  4. Step 4: Simplify right side
    15,311.94x = 96,825,294.92
  5. Step 5: Solve for x
    x = 96,825,294.92/15,311.94
  6. Step 6: Final answer
    x = 6,323.52

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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.