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Finding the Fourth Proportional to 24,803.22, 37,179.34 and 9,804.24

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Solution

The fourth proportional to 24,803.22, 37,179.34 and 9,804.24 is: 14,696.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,803.22 : 37,179.34 = 9,804.24 : x
  2. Step 2: Convert to fraction form
    24,803.22/37,179.34 = 9,804.24/x
  3. Step 3: Cross multiply
    24,803.22x = 37,179.34 × 9,804.24
  4. Step 4: Simplify right side
    24,803.22x = 364,515,306.89
  5. Step 5: Solve for x
    x = 364,515,306.89/24,803.22
  6. Step 6: Final answer
    x = 14,696.29

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1.5x scale

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.