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Finding the Fourth Proportional to 14,314.19, 21,356.43 and 12,735.44

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Solution

The fourth proportional to 14,314.19, 21,356.43 and 12,735.44 is: 19,000.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,314.19 : 21,356.43 = 12,735.44 : x
  2. Step 2: Convert to fraction form
    14,314.19/21,356.43 = 12,735.44/x
  3. Step 3: Cross multiply
    14,314.19x = 21,356.43 × 12,735.44
  4. Step 4: Simplify right side
    14,314.19x = 271,983,426.10
  5. Step 5: Solve for x
    x = 271,983,426.10/14,314.19
  6. Step 6: Final answer
    x = 19,000.97

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.