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Finding the Fourth Proportional to 16,321.50, 22,526.40 and 9,252.02

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Solution

The fourth proportional to 16,321.50, 22,526.40 and 9,252.02 is: 12,769.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,321.50 : 22,526.40 = 9,252.02 : x
  2. Step 2: Convert to fraction form
    16,321.50/22,526.40 = 9,252.02/x
  3. Step 3: Cross multiply
    16,321.50x = 22,526.40 × 9,252.02
  4. Step 4: Simplify right side
    16,321.50x = 208,414,794.34
  5. Step 5: Solve for x
    x = 208,414,794.34/16,321.50
  6. Step 6: Final answer
    x = 12,769.34

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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.