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Finding the Fourth Proportional to 14,514.39, 21,774.69 and 8,277.39

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Solution

The fourth proportional to 14,514.39, 21,774.69 and 8,277.39 is: 12,417.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,514.39 : 21,774.69 = 8,277.39 : x
  2. Step 2: Convert to fraction form
    14,514.39/21,774.69 = 8,277.39/x
  3. Step 3: Cross multiply
    14,514.39x = 21,774.69 × 8,277.39
  4. Step 4: Simplify right side
    14,514.39x = 180,237,601.26
  5. Step 5: Solve for x
    x = 180,237,601.26/14,514.39
  6. Step 6: Final answer
    x = 12,417.86

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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.