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Finding the Fourth Proportional to 30,973.44, 42,743.14 and 16,826.16

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Solution

The fourth proportional to 30,973.44, 42,743.14 and 16,826.16 is: 23,219.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,973.44 : 42,743.14 = 16,826.16 : x
  2. Step 2: Convert to fraction form
    30,973.44/42,743.14 = 16,826.16/x
  3. Step 3: Cross multiply
    30,973.44x = 42,743.14 × 16,826.16
  4. Step 4: Simplify right side
    30,973.44x = 719,202,870.48
  5. Step 5: Solve for x
    x = 719,202,870.48/30,973.44
  6. Step 6: Final answer
    x = 23,219.99

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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.