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Finding the Fourth Proportional to 14,326.41, 21,489.54 and 7,794.12

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Solution

The fourth proportional to 14,326.41, 21,489.54 and 7,794.12 is: 11,691.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,326.41 : 21,489.54 = 7,794.12 : x
  2. Step 2: Convert to fraction form
    14,326.41/21,489.54 = 7,794.12/x
  3. Step 3: Cross multiply
    14,326.41x = 21,489.54 × 7,794.12
  4. Step 4: Simplify right side
    14,326.41x = 167,492,053.50
  5. Step 5: Solve for x
    x = 167,492,053.50/14,326.41
  6. Step 6: Final answer
    x = 11,691.14

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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.