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Finding the Fourth Proportional to 16,223.36, 22,389.80 and 9,848.48

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Solution

The fourth proportional to 16,223.36, 22,389.80 and 9,848.48 is: 13,591.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,223.36 : 22,389.80 = 9,848.48 : x
  2. Step 2: Convert to fraction form
    16,223.36/22,389.80 = 9,848.48/x
  3. Step 3: Cross multiply
    16,223.36x = 22,389.80 × 9,848.48
  4. Step 4: Simplify right side
    16,223.36x = 220,505,336.31
  5. Step 5: Solve for x
    x = 220,505,336.31/16,223.36
  6. Step 6: Final answer
    x = 13,591.85

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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.