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Finding the Fourth Proportional to 16,438.74, 22,686.30 and 9,728.22

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Solution

The fourth proportional to 16,438.74, 22,686.30 and 9,728.22 is: 13,425.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,438.74 : 22,686.30 = 9,728.22 : x
  2. Step 2: Convert to fraction form
    16,438.74/22,686.30 = 9,728.22/x
  3. Step 3: Cross multiply
    16,438.74x = 22,686.30 × 9,728.22
  4. Step 4: Simplify right side
    16,438.74x = 220,697,317.39
  5. Step 5: Solve for x
    x = 220,697,317.39/16,438.74
  6. Step 6: Final answer
    x = 13,425.44

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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.