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Finding the Fourth Proportional to 16,440.77, 22,686.59 and 9,725.09

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Solution

The fourth proportional to 16,440.77, 22,686.59 and 9,725.09 is: 13,419.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,440.77 : 22,686.59 = 9,725.09 : x
  2. Step 2: Convert to fraction form
    16,440.77/22,686.59 = 9,725.09/x
  3. Step 3: Cross multiply
    16,440.77x = 22,686.59 × 9,725.09
  4. Step 4: Simplify right side
    16,440.77x = 220,629,117.90
  5. Step 5: Solve for x
    x = 220,629,117.90/16,440.77
  6. Step 6: Final answer
    x = 13,419.63

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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.