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Finding the Fourth Proportional to 14,107.98, 21,213.81 and 13,537.74

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Solution

The fourth proportional to 14,107.98, 21,213.81 and 13,537.74 is: 20,356.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,107.98 : 21,213.81 = 13,537.74 : x
  2. Step 2: Convert to fraction form
    14,107.98/21,213.81 = 13,537.74/x
  3. Step 3: Cross multiply
    14,107.98x = 21,213.81 × 13,537.74
  4. Step 4: Simplify right side
    14,107.98x = 287,187,044.19
  5. Step 5: Solve for x
    x = 287,187,044.19/14,107.98
  6. Step 6: Final answer
    x = 20,356.35

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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.