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Finding the Fourth Proportional to 17,871.66, 26,778.33 and 9,094.50

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Solution

The fourth proportional to 17,871.66, 26,778.33 and 9,094.50 is: 13,626.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,871.66 : 26,778.33 = 9,094.50 : x
  2. Step 2: Convert to fraction form
    17,871.66/26,778.33 = 9,094.50/x
  3. Step 3: Cross multiply
    17,871.66x = 26,778.33 × 9,094.50
  4. Step 4: Simplify right side
    17,871.66x = 243,535,522.19
  5. Step 5: Solve for x
    x = 243,535,522.19/17,871.66
  6. Step 6: Final answer
    x = 13,626.91

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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.