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Finding the Fourth Proportional to 14,773.42, 20,386.79 and 8,400.27

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Solution

The fourth proportional to 14,773.42, 20,386.79 and 8,400.27 is: 11,592.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,773.42 : 20,386.79 = 8,400.27 : x
  2. Step 2: Convert to fraction form
    14,773.42/20,386.79 = 8,400.27/x
  3. Step 3: Cross multiply
    14,773.42x = 20,386.79 × 8,400.27
  4. Step 4: Simplify right side
    14,773.42x = 171,254,606.38
  5. Step 5: Solve for x
    x = 171,254,606.38/14,773.42
  6. Step 6: Final answer
    x = 11,592.07

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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.