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Finding the Fourth Proportional to 13,279.95, 19,910.68 and 5,880.40

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Solution

The fourth proportional to 13,279.95, 19,910.68 and 5,880.40 is: 8,816.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,279.95 : 19,910.68 = 5,880.40 : x
  2. Step 2: Convert to fraction form
    13,279.95/19,910.68 = 5,880.40/x
  3. Step 3: Cross multiply
    13,279.95x = 19,910.68 × 5,880.40
  4. Step 4: Simplify right side
    13,279.95x = 117,082,698.19
  5. Step 5: Solve for x
    x = 117,082,698.19/13,279.95
  6. Step 6: Final answer
    x = 8,816.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.