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Finding the Fourth Proportional to 14,801.84, 20,427.16 and 8,514.22

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Solution

The fourth proportional to 14,801.84, 20,427.16 and 8,514.22 is: 11,749.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,801.84 : 20,427.16 = 8,514.22 : x
  2. Step 2: Convert to fraction form
    14,801.84/20,427.16 = 8,514.22/x
  3. Step 3: Cross multiply
    14,801.84x = 20,427.16 × 8,514.22
  4. Step 4: Simplify right side
    14,801.84x = 173,921,334.22
  5. Step 5: Solve for x
    x = 173,921,334.22/14,801.84
  6. Step 6: Final answer
    x = 11,749.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.