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Finding the Fourth Proportional to 17,923.76, 24,735.36 and 9,966.32

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Solution

The fourth proportional to 17,923.76, 24,735.36 and 9,966.32 is: 13,753.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,923.76 : 24,735.36 = 9,966.32 : x
  2. Step 2: Convert to fraction form
    17,923.76/24,735.36 = 9,966.32/x
  3. Step 3: Cross multiply
    17,923.76x = 24,735.36 × 9,966.32
  4. Step 4: Simplify right side
    17,923.76x = 246,520,513.08
  5. Step 5: Solve for x
    x = 246,520,513.08/17,923.76
  6. Step 6: Final answer
    x = 13,753.84

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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.