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Finding the Fourth Proportional to 17,225.76, 23,736.48 and 16,296

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Solution

The fourth proportional to 17,225.76, 23,736.48 and 16,296 is: 22,455.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,225.76 : 23,736.48 = 16,296 : x
  2. Step 2: Convert to fraction form
    17,225.76/23,736.48 = 16,296/x
  3. Step 3: Cross multiply
    17,225.76x = 23,736.48 × 16,296
  4. Step 4: Simplify right side
    17,225.76x = 386,809,678.08
  5. Step 5: Solve for x
    x = 386,809,678.08/17,225.76
  6. Step 6: Final answer
    x = 22,455.30

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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.