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Finding the Fourth Proportional to 16,412.50, 22,649.34 and 8,960.50

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Solution

The fourth proportional to 16,412.50, 22,649.34 and 8,960.50 is: 12,365.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,412.50 : 22,649.34 = 8,960.50 : x
  2. Step 2: Convert to fraction form
    16,412.50/22,649.34 = 8,960.50/x
  3. Step 3: Cross multiply
    16,412.50x = 22,649.34 × 8,960.50
  4. Step 4: Simplify right side
    16,412.50x = 202,949,411.07
  5. Step 5: Solve for x
    x = 202,949,411.07/16,412.50
  6. Step 6: Final answer
    x = 12,365.54

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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.