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Finding the Fourth Proportional to 13,718.84, 20,580.77 and 5,398.67

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Solution

The fourth proportional to 13,718.84, 20,580.77 and 5,398.67 is: 8,099.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,718.84 : 20,580.77 = 5,398.67 : x
  2. Step 2: Convert to fraction form
    13,718.84/20,580.77 = 5,398.67/x
  3. Step 3: Cross multiply
    13,718.84x = 20,580.77 × 5,398.67
  4. Step 4: Simplify right side
    13,718.84x = 111,108,850.52
  5. Step 5: Solve for x
    x = 111,108,850.52/13,718.84
  6. Step 6: Final answer
    x = 8,099.00

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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.