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Finding the Fourth Proportional to 19,792.68, 29,686.50 and 8,697.24

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Solution

The fourth proportional to 19,792.68, 29,686.50 and 8,697.24 is: 13,044.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,792.68 : 29,686.50 = 8,697.24 : x
  2. Step 2: Convert to fraction form
    19,792.68/29,686.50 = 8,697.24/x
  3. Step 3: Cross multiply
    19,792.68x = 29,686.50 × 8,697.24
  4. Step 4: Simplify right side
    19,792.68x = 258,190,615.26
  5. Step 5: Solve for x
    x = 258,190,615.26/19,792.68
  6. Step 6: Final answer
    x = 13,044.75

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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.