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Finding the Fourth Proportional to 21,574.80, 29,770.47 and 12,141.54

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Solution

The fourth proportional to 21,574.80, 29,770.47 and 12,141.54 is: 16,753.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,574.80 : 29,770.47 = 12,141.54 : x
  2. Step 2: Convert to fraction form
    21,574.80/29,770.47 = 12,141.54/x
  3. Step 3: Cross multiply
    21,574.80x = 29,770.47 × 12,141.54
  4. Step 4: Simplify right side
    21,574.80x = 361,459,352.32
  5. Step 5: Solve for x
    x = 361,459,352.32/21,574.80
  6. Step 6: Final answer
    x = 16,753.78

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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.