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Finding the Fourth Proportional to 24,804.24, 37,203.12 and 10,950

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Solution

The fourth proportional to 24,804.24, 37,203.12 and 10,950 is: 16,423.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,804.24 : 37,203.12 = 10,950 : x
  2. Step 2: Convert to fraction form
    24,804.24/37,203.12 = 10,950/x
  3. Step 3: Cross multiply
    24,804.24x = 37,203.12 × 10,950
  4. Step 4: Simplify right side
    24,804.24x = 407,374,164
  5. Step 5: Solve for x
    x = 407,374,164/24,804.24
  6. Step 6: Final answer
    x = 16,423.57

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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.