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Finding the Fourth Proportional to 14,612.40, 21,914.35 and 5,250.83

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Solution

The fourth proportional to 14,612.40, 21,914.35 and 5,250.83 is: 7,874.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,612.40 : 21,914.35 = 5,250.83 : x
  2. Step 2: Convert to fraction form
    14,612.40/21,914.35 = 5,250.83/x
  3. Step 3: Cross multiply
    14,612.40x = 21,914.35 × 5,250.83
  4. Step 4: Simplify right side
    14,612.40x = 115,068,403.71
  5. Step 5: Solve for x
    x = 115,068,403.71/14,612.40
  6. Step 6: Final answer
    x = 7,874.71

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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.