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Finding the Fourth Proportional to 14,224.84, 19,613.82 and 11,697.64

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Solution

The fourth proportional to 14,224.84, 19,613.82 and 11,697.64 is: 16,129.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,224.84 : 19,613.82 = 11,697.64 : x
  2. Step 2: Convert to fraction form
    14,224.84/19,613.82 = 11,697.64/x
  3. Step 3: Cross multiply
    14,224.84x = 19,613.82 × 11,697.64
  4. Step 4: Simplify right side
    14,224.84x = 229,435,405.38
  5. Step 5: Solve for x
    x = 229,435,405.38/14,224.84
  6. Step 6: Final answer
    x = 16,129.21

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Why These Related Problems?

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