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Finding the Fourth Proportional to 13,703.76, 20,550.80 and 4,936.32

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Solution

The fourth proportional to 13,703.76, 20,550.80 and 4,936.32 is: 7,402.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,703.76 : 20,550.80 = 4,936.32 : x
  2. Step 2: Convert to fraction form
    13,703.76/20,550.80 = 4,936.32/x
  3. Step 3: Cross multiply
    13,703.76x = 20,550.80 × 4,936.32
  4. Step 4: Simplify right side
    13,703.76x = 101,445,325.06
  5. Step 5: Solve for x
    x = 101,445,325.06/13,703.76
  6. Step 6: Final answer
    x = 7,402.74

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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.