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Finding the Fourth Proportional to 21,165.40, 31,743.42 and 8,017.48

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Solution

The fourth proportional to 21,165.40, 31,743.42 and 8,017.48 is: 12,024.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,165.40 : 31,743.42 = 8,017.48 : x
  2. Step 2: Convert to fraction form
    21,165.40/31,743.42 = 8,017.48/x
  3. Step 3: Cross multiply
    21,165.40x = 31,743.42 × 8,017.48
  4. Step 4: Simplify right side
    21,165.40x = 254,502,234.98
  5. Step 5: Solve for x
    x = 254,502,234.98/21,165.40
  6. Step 6: Final answer
    x = 12,024.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.