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Finding the Fourth Proportional to 14,116.84, 21,175.44 and 5,349.40

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Solution

The fourth proportional to 14,116.84, 21,175.44 and 5,349.40 is: 8,024.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,116.84 : 21,175.44 = 5,349.40 : x
  2. Step 2: Convert to fraction form
    14,116.84/21,175.44 = 5,349.40/x
  3. Step 3: Cross multiply
    14,116.84x = 21,175.44 × 5,349.40
  4. Step 4: Simplify right side
    14,116.84x = 113,275,898.74
  5. Step 5: Solve for x
    x = 113,275,898.74/14,116.84
  6. Step 6: Final answer
    x = 8,024.17

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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.