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Finding the Fourth Proportional to 17,802.76, 26,704.12 and 7,414.50

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Solution

The fourth proportional to 17,802.76, 26,704.12 and 7,414.50 is: 11,121.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,802.76 : 26,704.12 = 7,414.50 : x
  2. Step 2: Convert to fraction form
    17,802.76/26,704.12 = 7,414.50/x
  3. Step 3: Cross multiply
    17,802.76x = 26,704.12 × 7,414.50
  4. Step 4: Simplify right side
    17,802.76x = 197,997,697.74
  5. Step 5: Solve for x
    x = 197,997,697.74/17,802.76
  6. Step 6: Final answer
    x = 11,121.74

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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.