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Finding the Fourth Proportional to 13,912.28, 20,853.84 and 6,510.50

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Solution

The fourth proportional to 13,912.28, 20,853.84 and 6,510.50 is: 9,758.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,912.28 : 20,853.84 = 6,510.50 : x
  2. Step 2: Convert to fraction form
    13,912.28/20,853.84 = 6,510.50/x
  3. Step 3: Cross multiply
    13,912.28x = 20,853.84 × 6,510.50
  4. Step 4: Simplify right side
    13,912.28x = 135,768,925.32
  5. Step 5: Solve for x
    x = 135,768,925.32/13,912.28
  6. Step 6: Final answer
    x = 9,758.93

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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.