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Finding the Fourth Proportional to 24,225.66, 36,338.49 and 11,074.50

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Solution

The fourth proportional to 24,225.66, 36,338.49 and 11,074.50 is: 16,611.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,225.66 : 36,338.49 = 11,074.50 : x
  2. Step 2: Convert to fraction form
    24,225.66/36,338.49 = 11,074.50/x
  3. Step 3: Cross multiply
    24,225.66x = 36,338.49 × 11,074.50
  4. Step 4: Simplify right side
    24,225.66x = 402,430,607.51
  5. Step 5: Solve for x
    x = 402,430,607.51/24,225.66
  6. Step 6: Final answer
    x = 16,611.75

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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.