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Finding the Fourth Proportional to 19,664.96, 29,496.48 and 7,352

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Solution

The fourth proportional to 19,664.96, 29,496.48 and 7,352 is: 11,027.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,664.96 : 29,496.48 = 7,352 : x
  2. Step 2: Convert to fraction form
    19,664.96/29,496.48 = 7,352/x
  3. Step 3: Cross multiply
    19,664.96x = 29,496.48 × 7,352
  4. Step 4: Simplify right side
    19,664.96x = 216,858,120.96
  5. Step 5: Solve for x
    x = 216,858,120.96/19,664.96
  6. Step 6: Final answer
    x = 11,027.64

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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.