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Finding the Fourth Proportional to 24,137.60, 36,195.60 and 9,341.60

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Solution

The fourth proportional to 24,137.60, 36,195.60 and 9,341.60 is: 14,008.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,137.60 : 36,195.60 = 9,341.60 : x
  2. Step 2: Convert to fraction form
    24,137.60/36,195.60 = 9,341.60/x
  3. Step 3: Cross multiply
    24,137.60x = 36,195.60 × 9,341.60
  4. Step 4: Simplify right side
    24,137.60x = 338,124,816.96
  5. Step 5: Solve for x
    x = 338,124,816.96/24,137.60
  6. Step 6: Final answer
    x = 14,008.22

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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.