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Finding the Fourth Proportional to 13,932, 19,228.59 and 8,343

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Solution

The fourth proportional to 13,932, 19,228.59 and 8,343 is: 11,514.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,932 : 19,228.59 = 8,343 : x
  2. Step 2: Convert to fraction form
    13,932/19,228.59 = 8,343/x
  3. Step 3: Cross multiply
    13,932x = 19,228.59 × 8,343
  4. Step 4: Simplify right side
    13,932x = 160,424,126.37
  5. Step 5: Solve for x
    x = 160,424,126.37/13,932
  6. Step 6: Final answer
    x = 11,514.80

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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.