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Finding the Fourth Proportional to 30,843.52, 42,564.15 and 16,696.33

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Solution

The fourth proportional to 30,843.52, 42,564.15 and 16,696.33 is: 23,040.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,843.52 : 42,564.15 = 16,696.33 : x
  2. Step 2: Convert to fraction form
    30,843.52/42,564.15 = 16,696.33/x
  3. Step 3: Cross multiply
    30,843.52x = 42,564.15 × 16,696.33
  4. Step 4: Simplify right side
    30,843.52x = 710,664,988.16
  5. Step 5: Solve for x
    x = 710,664,988.16/30,843.52
  6. Step 6: Final answer
    x = 23,040.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.