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Finding the Fourth Proportional to 21,792.74, 32,681.94 and 6,998.14

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Solution

The fourth proportional to 21,792.74, 32,681.94 and 6,998.14 is: 10,494.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,792.74 : 32,681.94 = 6,998.14 : x
  2. Step 2: Convert to fraction form
    21,792.74/32,681.94 = 6,998.14/x
  3. Step 3: Cross multiply
    21,792.74x = 32,681.94 × 6,998.14
  4. Step 4: Simplify right side
    21,792.74x = 228,712,791.59
  5. Step 5: Solve for x
    x = 228,712,791.59/21,792.74
  6. Step 6: Final answer
    x = 10,494.91

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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.