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Finding the Fourth Proportional to 24,869, 37,303.50 and 7,338.58

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Solution

The fourth proportional to 24,869, 37,303.50 and 7,338.58 is: 11,007.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,869 : 37,303.50 = 7,338.58 : x
  2. Step 2: Convert to fraction form
    24,869/37,303.50 = 7,338.58/x
  3. Step 3: Cross multiply
    24,869x = 37,303.50 × 7,338.58
  4. Step 4: Simplify right side
    24,869x = 273,754,719.03
  5. Step 5: Solve for x
    x = 273,754,719.03/24,869
  6. Step 6: Final answer
    x = 11,007.87

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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.