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Finding the Fourth Proportional to 30,954.74, 42,716.38 and 16,807.28

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Solution

The fourth proportional to 30,954.74, 42,716.38 and 16,807.28 is: 23,193.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,954.74 : 42,716.38 = 16,807.28 : x
  2. Step 2: Convert to fraction form
    30,954.74/42,716.38 = 16,807.28/x
  3. Step 3: Cross multiply
    30,954.74x = 42,716.38 × 16,807.28
  4. Step 4: Simplify right side
    30,954.74x = 717,946,159.25
  5. Step 5: Solve for x
    x = 717,946,159.25/30,954.74
  6. Step 6: Final answer
    x = 23,193.42

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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.