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Finding the Fourth Proportional to 16,409.25, 22,645.98 and 9,337.95

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Solution

The fourth proportional to 16,409.25, 22,645.98 and 9,337.95 is: 12,887.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,409.25 : 22,645.98 = 9,337.95 : x
  2. Step 2: Convert to fraction form
    16,409.25/22,645.98 = 9,337.95/x
  3. Step 3: Cross multiply
    16,409.25x = 22,645.98 × 9,337.95
  4. Step 4: Simplify right side
    16,409.25x = 211,467,028.94
  5. Step 5: Solve for x
    x = 211,467,028.94/16,409.25
  6. Step 6: Final answer
    x = 12,887.06

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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.