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Finding the Fourth Proportional to 16,374.87, 22,597.31 and 8,922.87

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Solution

The fourth proportional to 16,374.87, 22,597.31 and 8,922.87 is: 12,313.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,374.87 : 22,597.31 = 8,922.87 : x
  2. Step 2: Convert to fraction form
    16,374.87/22,597.31 = 8,922.87/x
  3. Step 3: Cross multiply
    16,374.87x = 22,597.31 × 8,922.87
  4. Step 4: Simplify right side
    16,374.87x = 201,632,881.79
  5. Step 5: Solve for x
    x = 201,632,881.79/16,374.87
  6. Step 6: Final answer
    x = 12,313.56

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Why These Related Problems?

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