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Finding the Fourth Proportional to 30,909.42, 42,654.96 and 16,762.23

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Solution

The fourth proportional to 30,909.42, 42,654.96 and 16,762.23 is: 23,131.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,909.42 : 42,654.96 = 16,762.23 : x
  2. Step 2: Convert to fraction form
    30,909.42/42,654.96 = 16,762.23/x
  3. Step 3: Cross multiply
    30,909.42x = 42,654.96 × 16,762.23
  4. Step 4: Simplify right side
    30,909.42x = 714,992,250.16
  5. Step 5: Solve for x
    x = 714,992,250.16/30,909.42
  6. Step 6: Final answer
    x = 23,131.86

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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.