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Finding the Fourth Proportional to 14,097.42, 21,141.18 and 4,234.14

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Solution

The fourth proportional to 14,097.42, 21,141.18 and 4,234.14 is: 6,349.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,097.42 : 21,141.18 = 4,234.14 : x
  2. Step 2: Convert to fraction form
    14,097.42/21,141.18 = 4,234.14/x
  3. Step 3: Cross multiply
    14,097.42x = 21,141.18 × 4,234.14
  4. Step 4: Simplify right side
    14,097.42x = 89,514,715.89
  5. Step 5: Solve for x
    x = 89,514,715.89/14,097.42
  6. Step 6: Final answer
    x = 6,349.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.