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Finding the Fourth Proportional to 17,849.76, 24,631.83 and 9,783.36

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Solution

The fourth proportional to 17,849.76, 24,631.83 and 9,783.36 is: 13,500.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,849.76 : 24,631.83 = 9,783.36 : x
  2. Step 2: Convert to fraction form
    17,849.76/24,631.83 = 9,783.36/x
  3. Step 3: Cross multiply
    17,849.76x = 24,631.83 × 9,783.36
  4. Step 4: Simplify right side
    17,849.76x = 240,982,060.35
  5. Step 5: Solve for x
    x = 240,982,060.35/17,849.76
  6. Step 6: Final answer
    x = 13,500.58

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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.