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Finding the Fourth Proportional to 14,051.25, 21,078.09 and 3,663

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Solution

The fourth proportional to 14,051.25, 21,078.09 and 3,663 is: 5,494.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,051.25 : 21,078.09 = 3,663 : x
  2. Step 2: Convert to fraction form
    14,051.25/21,078.09 = 3,663/x
  3. Step 3: Cross multiply
    14,051.25x = 21,078.09 × 3,663
  4. Step 4: Simplify right side
    14,051.25x = 77,209,043.67
  5. Step 5: Solve for x
    x = 77,209,043.67/14,051.25
  6. Step 6: Final answer
    x = 5,494.82

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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.