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Finding the Fourth Proportional to 30,957, 42,721.46 and 16,809.84

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Solution

The fourth proportional to 30,957, 42,721.46 and 16,809.84 is: 23,198.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,957 : 42,721.46 = 16,809.84 : x
  2. Step 2: Convert to fraction form
    30,957/42,721.46 = 16,809.84/x
  3. Step 3: Cross multiply
    30,957x = 42,721.46 × 16,809.84
  4. Step 4: Simplify right side
    30,957x = 718,140,907.17
  5. Step 5: Solve for x
    x = 718,140,907.17/30,957
  6. Step 6: Final answer
    x = 23,198.01

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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.