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Finding the Fourth Proportional to 17,785.81, 26,681.78 and 7,924.87

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Solution

The fourth proportional to 17,785.81, 26,681.78 and 7,924.87 is: 11,888.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,785.81 : 26,681.78 = 7,924.87 : x
  2. Step 2: Convert to fraction form
    17,785.81/26,681.78 = 7,924.87/x
  3. Step 3: Cross multiply
    17,785.81x = 26,681.78 × 7,924.87
  4. Step 4: Simplify right side
    17,785.81x = 211,449,637.87
  5. Step 5: Solve for x
    x = 211,449,637.87/17,785.81
  6. Step 6: Final answer
    x = 11,888.67

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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.