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Finding the Fourth Proportional to 11,639.72, 17,449.80 and 9,443

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Solution

The fourth proportional to 11,639.72, 17,449.80 and 9,443 is: 14,156.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,639.72 : 17,449.80 = 9,443 : x
  2. Step 2: Convert to fraction form
    11,639.72/17,449.80 = 9,443/x
  3. Step 3: Cross multiply
    11,639.72x = 17,449.80 × 9,443
  4. Step 4: Simplify right side
    11,639.72x = 164,778,461.40
  5. Step 5: Solve for x
    x = 164,778,461.40/11,639.72
  6. Step 6: Final answer
    x = 14,156.57

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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.