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Finding the Fourth Proportional to 30,886.14, 42,622.77 and 16,739.01

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Solution

The fourth proportional to 30,886.14, 42,622.77 and 16,739.01 is: 23,099.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,886.14 : 42,622.77 = 16,739.01 : x
  2. Step 2: Convert to fraction form
    30,886.14/42,622.77 = 16,739.01/x
  3. Step 3: Cross multiply
    30,886.14x = 42,622.77 × 16,739.01
  4. Step 4: Simplify right side
    30,886.14x = 713,462,973.26
  5. Step 5: Solve for x
    x = 713,462,973.26/30,886.14
  6. Step 6: Final answer
    x = 23,099.78

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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.