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Finding the Fourth Proportional to 17,828.12, 24,602.24 and 9,761.42

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Solution

The fourth proportional to 17,828.12, 24,602.24 and 9,761.42 is: 13,470.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,828.12 : 24,602.24 = 9,761.42 : x
  2. Step 2: Convert to fraction form
    17,828.12/24,602.24 = 9,761.42/x
  3. Step 3: Cross multiply
    17,828.12x = 24,602.24 × 9,761.42
  4. Step 4: Simplify right side
    17,828.12x = 240,152,625.76
  5. Step 5: Solve for x
    x = 240,152,625.76/17,828.12
  6. Step 6: Final answer
    x = 13,470.44

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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.