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Finding the Fourth Proportional to 16,176.36, 22,322.88 and 9,102.36

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Solution

The fourth proportional to 16,176.36, 22,322.88 and 9,102.36 is: 12,560.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,176.36 : 22,322.88 = 9,102.36 : x
  2. Step 2: Convert to fraction form
    16,176.36/22,322.88 = 9,102.36/x
  3. Step 3: Cross multiply
    16,176.36x = 22,322.88 × 9,102.36
  4. Step 4: Simplify right side
    16,176.36x = 203,190,890.00
  5. Step 5: Solve for x
    x = 203,190,890.00/16,176.36
  6. Step 6: Final answer
    x = 12,560.98

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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.