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Finding the Fourth Proportional to 14,423.32, 19,902.24 and 8,049.16

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Solution

The fourth proportional to 14,423.32, 19,902.24 and 8,049.16 is: 11,106.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,423.32 : 19,902.24 = 8,049.16 : x
  2. Step 2: Convert to fraction form
    14,423.32/19,902.24 = 8,049.16/x
  3. Step 3: Cross multiply
    14,423.32x = 19,902.24 × 8,049.16
  4. Step 4: Simplify right side
    14,423.32x = 160,196,314.12
  5. Step 5: Solve for x
    x = 160,196,314.12/14,423.32
  6. Step 6: Final answer
    x = 11,106.76

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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.