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Finding the Fourth Proportional to 12,543.02, 17,321.08 and 8,074.53

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Solution

The fourth proportional to 12,543.02, 17,321.08 and 8,074.53 is: 11,150.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,543.02 : 17,321.08 = 8,074.53 : x
  2. Step 2: Convert to fraction form
    12,543.02/17,321.08 = 8,074.53/x
  3. Step 3: Cross multiply
    12,543.02x = 17,321.08 × 8,074.53
  4. Step 4: Simplify right side
    12,543.02x = 139,859,580.09
  5. Step 5: Solve for x
    x = 139,859,580.09/12,543.02
  6. Step 6: Final answer
    x = 11,150.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.