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Finding the Fourth Proportional to 14,513.27, 21,753.97 and 7,493.81

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Solution

The fourth proportional to 14,513.27, 21,753.97 and 7,493.81 is: 11,232.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,513.27 : 21,753.97 = 7,493.81 : x
  2. Step 2: Convert to fraction form
    14,513.27/21,753.97 = 7,493.81/x
  3. Step 3: Cross multiply
    14,513.27x = 21,753.97 × 7,493.81
  4. Step 4: Simplify right side
    14,513.27x = 163,020,117.93
  5. Step 5: Solve for x
    x = 163,020,117.93/14,513.27
  6. Step 6: Final answer
    x = 11,232.49

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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.