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Finding the Fourth Proportional to 30,843.60, 42,564.12 and 16,696.44

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Solution

The fourth proportional to 30,843.60, 42,564.12 and 16,696.44 is: 23,041.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,843.60 : 42,564.12 = 16,696.44 : x
  2. Step 2: Convert to fraction form
    30,843.60/42,564.12 = 16,696.44/x
  3. Step 3: Cross multiply
    30,843.60x = 42,564.12 × 16,696.44
  4. Step 4: Simplify right side
    30,843.60x = 710,669,275.73
  5. Step 5: Solve for x
    x = 710,669,275.73/30,843.60
  6. Step 6: Final answer
    x = 23,041.06

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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.