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Finding the Fourth Proportional to 16,735.31, 25,103.06 and 5,642.10

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Solution

The fourth proportional to 16,735.31, 25,103.06 and 5,642.10 is: 8,463.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,735.31 : 25,103.06 = 5,642.10 : x
  2. Step 2: Convert to fraction form
    16,735.31/25,103.06 = 5,642.10/x
  3. Step 3: Cross multiply
    16,735.31x = 25,103.06 × 5,642.10
  4. Step 4: Simplify right side
    16,735.31x = 141,633,946.62
  5. Step 5: Solve for x
    x = 141,633,946.62/16,735.31
  6. Step 6: Final answer
    x = 8,463.18

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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.