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Finding the Fourth Proportional to 17,125.96, 25,703.52 and 6,745

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Solution

The fourth proportional to 17,125.96, 25,703.52 and 6,745 is: 10,123.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,125.96 : 25,703.52 = 6,745 : x
  2. Step 2: Convert to fraction form
    17,125.96/25,703.52 = 6,745/x
  3. Step 3: Cross multiply
    17,125.96x = 25,703.52 × 6,745
  4. Step 4: Simplify right side
    17,125.96x = 173,370,242.40
  5. Step 5: Solve for x
    x = 173,370,242.40/17,125.96
  6. Step 6: Final answer
    x = 10,123.24

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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.