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Finding the Fourth Proportional to 14,514.16, 21,773.76 and 5,278

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Solution

The fourth proportional to 14,514.16, 21,773.76 and 5,278 is: 7,917.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,514.16 : 21,773.76 = 5,278 : x
  2. Step 2: Convert to fraction form
    14,514.16/21,773.76 = 5,278/x
  3. Step 3: Cross multiply
    14,514.16x = 21,773.76 × 5,278
  4. Step 4: Simplify right side
    14,514.16x = 114,921,905.28
  5. Step 5: Solve for x
    x = 114,921,905.28/14,514.16
  6. Step 6: Final answer
    x = 7,917.92

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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.