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Finding the Fourth Proportional to 12,809.49, 19,220.17 and 5,415.67

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Solution

The fourth proportional to 12,809.49, 19,220.17 and 5,415.67 is: 8,126.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,809.49 : 19,220.17 = 5,415.67 : x
  2. Step 2: Convert to fraction form
    12,809.49/19,220.17 = 5,415.67/x
  3. Step 3: Cross multiply
    12,809.49x = 19,220.17 × 5,415.67
  4. Step 4: Simplify right side
    12,809.49x = 104,090,098.06
  5. Step 5: Solve for x
    x = 104,090,098.06/12,809.49
  6. Step 6: Final answer
    x = 8,126.01

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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.