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Finding the Fourth Proportional to 30,793.82, 42,495.58 and 16,646.66

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Solution

The fourth proportional to 30,793.82, 42,495.58 and 16,646.66 is: 22,972.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,793.82 : 42,495.58 = 16,646.66 : x
  2. Step 2: Convert to fraction form
    30,793.82/42,495.58 = 16,646.66/x
  3. Step 3: Cross multiply
    30,793.82x = 42,495.58 × 16,646.66
  4. Step 4: Simplify right side
    30,793.82x = 707,409,536.39
  5. Step 5: Solve for x
    x = 707,409,536.39/30,793.82
  6. Step 6: Final answer
    x = 22,972.45

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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.