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Finding the Fourth Proportional to 13,753.08, 20,612.70 and 6,347.52

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Solution

The fourth proportional to 13,753.08, 20,612.70 and 6,347.52 is: 9,513.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,753.08 : 20,612.70 = 6,347.52 : x
  2. Step 2: Convert to fraction form
    13,753.08/20,612.70 = 6,347.52/x
  3. Step 3: Cross multiply
    13,753.08x = 20,612.70 × 6,347.52
  4. Step 4: Simplify right side
    13,753.08x = 130,839,525.50
  5. Step 5: Solve for x
    x = 130,839,525.50/13,753.08
  6. Step 6: Final answer
    x = 9,513.47

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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.