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Finding the Fourth Proportional to 16,314.40, 22,511.82 and 10,346.32

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Solution

The fourth proportional to 16,314.40, 22,511.82 and 10,346.32 is: 14,276.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,314.40 : 22,511.82 = 10,346.32 : x
  2. Step 2: Convert to fraction form
    16,314.40/22,511.82 = 10,346.32/x
  3. Step 3: Cross multiply
    16,314.40x = 22,511.82 × 10,346.32
  4. Step 4: Simplify right side
    16,314.40x = 232,914,493.50
  5. Step 5: Solve for x
    x = 232,914,493.50/16,314.40
  6. Step 6: Final answer
    x = 14,276.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.