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Finding the Fourth Proportional to 24,538.50, 33,863.22 and 13,360.50

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Solution

The fourth proportional to 24,538.50, 33,863.22 and 13,360.50 is: 18,437.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,538.50 : 33,863.22 = 13,360.50 : x
  2. Step 2: Convert to fraction form
    24,538.50/33,863.22 = 13,360.50/x
  3. Step 3: Cross multiply
    24,538.50x = 33,863.22 × 13,360.50
  4. Step 4: Simplify right side
    24,538.50x = 452,429,550.81
  5. Step 5: Solve for x
    x = 452,429,550.81/24,538.50
  6. Step 6: Final answer
    x = 18,437.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.