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Finding the Fourth Proportional to 12,924.84, 17,836.17 and 7,259.67

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Solution

The fourth proportional to 12,924.84, 17,836.17 and 7,259.67 is: 10,018.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,924.84 : 17,836.17 = 7,259.67 : x
  2. Step 2: Convert to fraction form
    12,924.84/17,836.17 = 7,259.67/x
  3. Step 3: Cross multiply
    12,924.84x = 17,836.17 × 7,259.67
  4. Step 4: Simplify right side
    12,924.84x = 129,484,716.56
  5. Step 5: Solve for x
    x = 129,484,716.56/12,924.84
  6. Step 6: Final answer
    x = 10,018.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.