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Finding the Fourth Proportional to 14,434.74, 21,623.76 and 9,489.42

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Solution

The fourth proportional to 14,434.74, 21,623.76 and 9,489.42 is: 14,215.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,434.74 : 21,623.76 = 9,489.42 : x
  2. Step 2: Convert to fraction form
    14,434.74/21,623.76 = 9,489.42/x
  3. Step 3: Cross multiply
    14,434.74x = 21,623.76 × 9,489.42
  4. Step 4: Simplify right side
    14,434.74x = 205,196,940.62
  5. Step 5: Solve for x
    x = 205,196,940.62/14,434.74
  6. Step 6: Final answer
    x = 14,215.49

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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.