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Finding the Fourth Proportional to 11,823.49, 17,709.79 and 5,574.14

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Solution

The fourth proportional to 11,823.49, 17,709.79 and 5,574.14 is: 8,349.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,823.49 : 17,709.79 = 5,574.14 : x
  2. Step 2: Convert to fraction form
    11,823.49/17,709.79 = 5,574.14/x
  3. Step 3: Cross multiply
    11,823.49x = 17,709.79 × 5,574.14
  4. Step 4: Simplify right side
    11,823.49x = 98,716,848.83
  5. Step 5: Solve for x
    x = 98,716,848.83/11,823.49
  6. Step 6: Final answer
    x = 8,349.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.