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Finding the Fourth Proportional to 23,291, 32,142.16 and 12,681.22

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Solution

The fourth proportional to 23,291, 32,142.16 and 12,681.22 is: 17,500.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,291 : 32,142.16 = 12,681.22 : x
  2. Step 2: Convert to fraction form
    23,291/32,142.16 = 12,681.22/x
  3. Step 3: Cross multiply
    23,291x = 32,142.16 × 12,681.22
  4. Step 4: Simplify right side
    23,291x = 407,601,578.12
  5. Step 5: Solve for x
    x = 407,601,578.12/23,291
  6. Step 6: Final answer
    x = 17,500.39

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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.