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Finding the Fourth Proportional to 13,551.84, 20,319.66 and 5,224.95

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Solution

The fourth proportional to 13,551.84, 20,319.66 and 5,224.95 is: 7,834.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,551.84 : 20,319.66 = 5,224.95 : x
  2. Step 2: Convert to fraction form
    13,551.84/20,319.66 = 5,224.95/x
  3. Step 3: Cross multiply
    13,551.84x = 20,319.66 × 5,224.95
  4. Step 4: Simplify right side
    13,551.84x = 106,169,207.52
  5. Step 5: Solve for x
    x = 106,169,207.52/13,551.84
  6. Step 6: Final answer
    x = 7,834.30

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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.