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Finding the Fourth Proportional to 16,156.54, 22,296.54 and 9,784.32

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Solution

The fourth proportional to 16,156.54, 22,296.54 and 9,784.32 is: 13,502.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,156.54 : 22,296.54 = 9,784.32 : x
  2. Step 2: Convert to fraction form
    16,156.54/22,296.54 = 9,784.32/x
  3. Step 3: Cross multiply
    16,156.54x = 22,296.54 × 9,784.32
  4. Step 4: Simplify right side
    16,156.54x = 218,156,321.85
  5. Step 5: Solve for x
    x = 218,156,321.85/16,156.54
  6. Step 6: Final answer
    x = 13,502.67

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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.