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Finding the Fourth Proportional to 30,764.60, 42,455.16 and 16,617.44

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Solution

The fourth proportional to 30,764.60, 42,455.16 and 16,617.44 is: 22,932.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,764.60 : 42,455.16 = 16,617.44 : x
  2. Step 2: Convert to fraction form
    30,764.60/42,455.16 = 16,617.44/x
  3. Step 3: Cross multiply
    30,764.60x = 42,455.16 × 16,617.44
  4. Step 4: Simplify right side
    30,764.60x = 705,495,926.31
  5. Step 5: Solve for x
    x = 705,495,926.31/30,764.60
  6. Step 6: Final answer
    x = 22,932.07

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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.