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Finding the Fourth Proportional to 13,483.21, 20,233.93 and 4,718.20

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Solution

The fourth proportional to 13,483.21, 20,233.93 and 4,718.20 is: 7,080.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,483.21 : 20,233.93 = 4,718.20 : x
  2. Step 2: Convert to fraction form
    13,483.21/20,233.93 = 4,718.20/x
  3. Step 3: Cross multiply
    13,483.21x = 20,233.93 × 4,718.20
  4. Step 4: Simplify right side
    13,483.21x = 95,467,682.59
  5. Step 5: Solve for x
    x = 95,467,682.59/13,483.21
  6. Step 6: Final answer
    x = 7,080.49

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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.