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Finding the Fourth Proportional to 30,507.44, 42,098.20 and 16,894.50

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Solution

The fourth proportional to 30,507.44, 42,098.20 and 16,894.50 is: 23,313.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,507.44 : 42,098.20 = 16,894.50 : x
  2. Step 2: Convert to fraction form
    30,507.44/42,098.20 = 16,894.50/x
  3. Step 3: Cross multiply
    30,507.44x = 42,098.20 × 16,894.50
  4. Step 4: Simplify right side
    30,507.44x = 711,228,039.90
  5. Step 5: Solve for x
    x = 711,228,039.90/30,507.44
  6. Step 6: Final answer
    x = 23,313.27

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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.