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Finding the Fourth Proportional to 12,697.89, 17,522.78 and 7,032.28

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Solution

The fourth proportional to 12,697.89, 17,522.78 and 7,032.28 is: 9,704.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,697.89 : 17,522.78 = 7,032.28 : x
  2. Step 2: Convert to fraction form
    12,697.89/17,522.78 = 7,032.28/x
  3. Step 3: Cross multiply
    12,697.89x = 17,522.78 × 7,032.28
  4. Step 4: Simplify right side
    12,697.89x = 123,225,095.34
  5. Step 5: Solve for x
    x = 123,225,095.34/12,697.89
  6. Step 6: Final answer
    x = 9,704.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.