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Finding the Fourth Proportional to 24,978.22, 37,468.77 and 9,395.98

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Solution

The fourth proportional to 24,978.22, 37,468.77 and 9,395.98 is: 14,094.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,978.22 : 37,468.77 = 9,395.98 : x
  2. Step 2: Convert to fraction form
    24,978.22/37,468.77 = 9,395.98/x
  3. Step 3: Cross multiply
    24,978.22x = 37,468.77 × 9,395.98
  4. Step 4: Simplify right side
    24,978.22x = 352,055,813.54
  5. Step 5: Solve for x
    x = 352,055,813.54/24,978.22
  6. Step 6: Final answer
    x = 14,094.51

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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.