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Finding the Fourth Proportional to 16,376.76, 22,599.94 and 9,662.46

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Solution

The fourth proportional to 16,376.76, 22,599.94 and 9,662.46 is: 13,334.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,376.76 : 22,599.94 = 9,662.46 : x
  2. Step 2: Convert to fraction form
    16,376.76/22,599.94 = 9,662.46/x
  3. Step 3: Cross multiply
    16,376.76x = 22,599.94 × 9,662.46
  4. Step 4: Simplify right side
    16,376.76x = 218,371,016.25
  5. Step 5: Solve for x
    x = 218,371,016.25/16,376.76
  6. Step 6: Final answer
    x = 13,334.20

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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.