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Finding the Fourth Proportional to 30,973.14, 42,742.94 and 16,826.08

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Solution

The fourth proportional to 30,973.14, 42,742.94 and 16,826.08 is: 23,219.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,973.14 : 42,742.94 = 16,826.08 : x
  2. Step 2: Convert to fraction form
    30,973.14/42,742.94 = 16,826.08/x
  3. Step 3: Cross multiply
    30,973.14x = 42,742.94 × 16,826.08
  4. Step 4: Simplify right side
    30,973.14x = 719,196,127.88
  5. Step 5: Solve for x
    x = 719,196,127.88/30,973.14
  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.