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Finding the Fourth Proportional to 17,719.68, 26,564.16 and 6,768

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Solution

The fourth proportional to 17,719.68, 26,564.16 and 6,768 is: 10,146.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,719.68 : 26,564.16 = 6,768 : x
  2. Step 2: Convert to fraction form
    17,719.68/26,564.16 = 6,768/x
  3. Step 3: Cross multiply
    17,719.68x = 26,564.16 × 6,768
  4. Step 4: Simplify right side
    17,719.68x = 179,786,234.88
  5. Step 5: Solve for x
    x = 179,786,234.88/17,719.68
  6. Step 6: Final answer
    x = 10,146.13

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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.