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Finding the Fourth Proportional to 24,467.60, 36,672.60 and 10,427.60

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Solution

The fourth proportional to 24,467.60, 36,672.60 and 10,427.60 is: 15,629.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,467.60 : 36,672.60 = 10,427.60 : x
  2. Step 2: Convert to fraction form
    24,467.60/36,672.60 = 10,427.60/x
  3. Step 3: Cross multiply
    24,467.60x = 36,672.60 × 10,427.60
  4. Step 4: Simplify right side
    24,467.60x = 382,407,203.76
  5. Step 5: Solve for x
    x = 382,407,203.76/24,467.60
  6. Step 6: Final answer
    x = 15,629.13

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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.