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Finding the Fourth Proportional to 12,767.81, 17,624.34 and 7,464.33

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Solution

The fourth proportional to 12,767.81, 17,624.34 and 7,464.33 is: 10,303.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,767.81 : 17,624.34 = 7,464.33 : x
  2. Step 2: Convert to fraction form
    12,767.81/17,624.34 = 7,464.33/x
  3. Step 3: Cross multiply
    12,767.81x = 17,624.34 × 7,464.33
  4. Step 4: Simplify right side
    12,767.81x = 131,553,889.79
  5. Step 5: Solve for x
    x = 131,553,889.79/12,767.81
  6. Step 6: Final answer
    x = 10,303.56

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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.