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Finding the Fourth Proportional to 13,703.26, 18,911.35 and 7,732.75

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Solution

The fourth proportional to 13,703.26, 18,911.35 and 7,732.75 is: 10,671.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,703.26 : 18,911.35 = 7,732.75 : x
  2. Step 2: Convert to fraction form
    13,703.26/18,911.35 = 7,732.75/x
  3. Step 3: Cross multiply
    13,703.26x = 18,911.35 × 7,732.75
  4. Step 4: Simplify right side
    13,703.26x = 146,236,741.71
  5. Step 5: Solve for x
    x = 146,236,741.71/13,703.26
  6. Step 6: Final answer
    x = 10,671.68

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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.