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Finding the Fourth Proportional to 13,836.51, 20,750.64 and 5,069.34

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Solution

The fourth proportional to 13,836.51, 20,750.64 and 5,069.34 is: 7,602.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,836.51 : 20,750.64 = 5,069.34 : x
  2. Step 2: Convert to fraction form
    13,836.51/20,750.64 = 5,069.34/x
  3. Step 3: Cross multiply
    13,836.51x = 20,750.64 × 5,069.34
  4. Step 4: Simplify right side
    13,836.51x = 105,192,049.38
  5. Step 5: Solve for x
    x = 105,192,049.38/13,836.51
  6. Step 6: Final answer
    x = 7,602.50

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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.