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Finding the Fourth Proportional to 24,538.50, 33,863.40 and 13,360.50

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Solution

The fourth proportional to 24,538.50, 33,863.40 and 13,360.50 is: 18,437.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,538.50 : 33,863.40 = 13,360.50 : x
  2. Step 2: Convert to fraction form
    24,538.50/33,863.40 = 13,360.50/x
  3. Step 3: Cross multiply
    24,538.50x = 33,863.40 × 13,360.50
  4. Step 4: Simplify right side
    24,538.50x = 452,431,955.70
  5. Step 5: Solve for x
    x = 452,431,955.70/24,538.50
  6. Step 6: Final answer
    x = 18,437.64

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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.