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Finding the Fourth Proportional to 16,014.65, 24,142.10 and 14,944.24

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Solution

The fourth proportional to 16,014.65, 24,142.10 and 14,944.24 is: 22,528.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,014.65 : 24,142.10 = 14,944.24 : x
  2. Step 2: Convert to fraction form
    16,014.65/24,142.10 = 14,944.24/x
  3. Step 3: Cross multiply
    16,014.65x = 24,142.10 × 14,944.24
  4. Step 4: Simplify right side
    16,014.65x = 360,785,336.50
  5. Step 5: Solve for x
    x = 360,785,336.50/16,014.65
  6. Step 6: Final answer
    x = 22,528.46

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.