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Finding the Fourth Proportional to 13,876.79, 20,817.76 and 4,391.50

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Solution

The fourth proportional to 13,876.79, 20,817.76 and 4,391.50 is: 6,588.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,876.79 : 20,817.76 = 4,391.50 : x
  2. Step 2: Convert to fraction form
    13,876.79/20,817.76 = 4,391.50/x
  3. Step 3: Cross multiply
    13,876.79x = 20,817.76 × 4,391.50
  4. Step 4: Simplify right side
    13,876.79x = 91,421,216.32
  5. Step 5: Solve for x
    x = 91,421,216.32/13,876.79
  6. Step 6: Final answer
    x = 6,588.06

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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.