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Finding the Fourth Proportional to 23,296.69, 32,169.42 and 22,543.51

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Solution

The fourth proportional to 23,296.69, 32,169.42 and 22,543.51 is: 31,129.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,296.69 : 32,169.42 = 22,543.51 : x
  2. Step 2: Convert to fraction form
    23,296.69/32,169.42 = 22,543.51/x
  3. Step 3: Cross multiply
    23,296.69x = 32,169.42 × 22,543.51
  4. Step 4: Simplify right side
    23,296.69x = 725,211,641.46
  5. Step 5: Solve for x
    x = 725,211,641.46/23,296.69
  6. Step 6: Final answer
    x = 31,129.39

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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.