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Finding the Fourth Proportional to 14,123.78, 21,188.27 and 11,514.15

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Solution

The fourth proportional to 14,123.78, 21,188.27 and 11,514.15 is: 17,273.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,123.78 : 21,188.27 = 11,514.15 : x
  2. Step 2: Convert to fraction form
    14,123.78/21,188.27 = 11,514.15/x
  3. Step 3: Cross multiply
    14,123.78x = 21,188.27 × 11,514.15
  4. Step 4: Simplify right side
    14,123.78x = 243,964,883.04
  5. Step 5: Solve for x
    x = 243,964,883.04/14,123.78
  6. Step 6: Final answer
    x = 17,273.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.