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Finding the Fourth Proportional to 30,957.90, 42,722.13 and 16,810.74

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Solution

The fourth proportional to 30,957.90, 42,722.13 and 16,810.74 is: 23,198.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,957.90 : 42,722.13 = 16,810.74 : x
  2. Step 2: Convert to fraction form
    30,957.90/42,722.13 = 16,810.74/x
  3. Step 3: Cross multiply
    30,957.90x = 42,722.13 × 16,810.74
  4. Step 4: Simplify right side
    30,957.90x = 718,190,682.72
  5. Step 5: Solve for x
    x = 718,190,682.72/30,957.90
  6. Step 6: Final answer
    x = 23,198.95

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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.