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Finding the Fourth Proportional to 24,328.47, 33,543.47 and 20,006.46

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Solution

The fourth proportional to 24,328.47, 33,543.47 and 20,006.46 is: 27,584.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,328.47 : 33,543.47 = 20,006.46 : x
  2. Step 2: Convert to fraction form
    24,328.47/33,543.47 = 20,006.46/x
  3. Step 3: Cross multiply
    24,328.47x = 33,543.47 × 20,006.46
  4. Step 4: Simplify right side
    24,328.47x = 671,085,990.78
  5. Step 5: Solve for x
    x = 671,085,990.78/24,328.47
  6. Step 6: Final answer
    x = 27,584.39

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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.