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Finding the Fourth Proportional to 19,697.76, 29,546.64 and 11,484

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Solution

The fourth proportional to 19,697.76, 29,546.64 and 11,484 is: 17,226

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,697.76 : 29,546.64 = 11,484 : x
  2. Step 2: Convert to fraction form
    19,697.76/29,546.64 = 11,484/x
  3. Step 3: Cross multiply
    19,697.76x = 29,546.64 × 11,484
  4. Step 4: Simplify right side
    19,697.76x = 339,313,613.76
  5. Step 5: Solve for x
    x = 339,313,613.76/19,697.76
  6. Step 6: Final answer
    x = 17,226

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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.