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Finding the Fourth Proportional to 16,374.77, 22,596.19 and 9,662.50

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Solution

The fourth proportional to 16,374.77, 22,596.19 and 9,662.50 is: 13,333.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,374.77 : 22,596.19 = 9,662.50 : x
  2. Step 2: Convert to fraction form
    16,374.77/22,596.19 = 9,662.50/x
  3. Step 3: Cross multiply
    16,374.77x = 22,596.19 × 9,662.50
  4. Step 4: Simplify right side
    16,374.77x = 218,335,685.88
  5. Step 5: Solve for x
    x = 218,335,685.88/16,374.77
  6. Step 6: Final answer
    x = 13,333.66

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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.