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Finding the Fourth Proportional to 17,740.64, 26,614.08 and 7,359.68

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Solution

The fourth proportional to 17,740.64, 26,614.08 and 7,359.68 is: 11,040.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,740.64 : 26,614.08 = 7,359.68 : x
  2. Step 2: Convert to fraction form
    17,740.64/26,614.08 = 7,359.68/x
  3. Step 3: Cross multiply
    17,740.64x = 26,614.08 × 7,359.68
  4. Step 4: Simplify right side
    17,740.64x = 195,871,112.29
  5. Step 5: Solve for x
    x = 195,871,112.29/17,740.64
  6. Step 6: Final answer
    x = 11,040.81

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Why These Related Problems?

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