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Finding the Fourth Proportional to 16,442.97, 22,693.37 and 10,782.45

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Solution

The fourth proportional to 16,442.97, 22,693.37 and 10,782.45 is: 14,881.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,442.97 : 22,693.37 = 10,782.45 : x
  2. Step 2: Convert to fraction form
    16,442.97/22,693.37 = 10,782.45/x
  3. Step 3: Cross multiply
    16,442.97x = 22,693.37 × 10,782.45
  4. Step 4: Simplify right side
    16,442.97x = 244,690,073.44
  5. Step 5: Solve for x
    x = 244,690,073.44/16,442.97
  6. Step 6: Final answer
    x = 14,881.14

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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.