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Finding the Fourth Proportional to 13,483.24, 20,225.82 and 4,249

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Solution

The fourth proportional to 13,483.24, 20,225.82 and 4,249 is: 6,373.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,483.24 : 20,225.82 = 4,249 : x
  2. Step 2: Convert to fraction form
    13,483.24/20,225.82 = 4,249/x
  3. Step 3: Cross multiply
    13,483.24x = 20,225.82 × 4,249
  4. Step 4: Simplify right side
    13,483.24x = 85,939,509.18
  5. Step 5: Solve for x
    x = 85,939,509.18/13,483.24
  6. Step 6: Final answer
    x = 6,373.80

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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.