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Finding the Fourth Proportional to 19,581.72, 29,298.96 and 11,655

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Solution

The fourth proportional to 19,581.72, 29,298.96 and 11,655 is: 17,438.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,581.72 : 29,298.96 = 11,655 : x
  2. Step 2: Convert to fraction form
    19,581.72/29,298.96 = 11,655/x
  3. Step 3: Cross multiply
    19,581.72x = 29,298.96 × 11,655
  4. Step 4: Simplify right side
    19,581.72x = 341,479,378.80
  5. Step 5: Solve for x
    x = 341,479,378.80/19,581.72
  6. Step 6: Final answer
    x = 17,438.68

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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.