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Finding the Fourth Proportional to 16,409.71, 22,645.11 and 9,335.98

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Solution

The fourth proportional to 16,409.71, 22,645.11 and 9,335.98 is: 12,883.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,409.71 : 22,645.11 = 9,335.98 : x
  2. Step 2: Convert to fraction form
    16,409.71/22,645.11 = 9,335.98/x
  3. Step 3: Cross multiply
    16,409.71x = 22,645.11 × 9,335.98
  4. Step 4: Simplify right side
    16,409.71x = 211,414,294.06
  5. Step 5: Solve for x
    x = 211,414,294.06/16,409.71
  6. Step 6: Final answer
    x = 12,883.49

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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.