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Finding the Fourth Proportional to 24,837.19, 34,274.86 and 13,506.48

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Solution

The fourth proportional to 24,837.19, 34,274.86 and 13,506.48 is: 18,638.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,837.19 : 34,274.86 = 13,506.48 : x
  2. Step 2: Convert to fraction form
    24,837.19/34,274.86 = 13,506.48/x
  3. Step 3: Cross multiply
    24,837.19x = 34,274.86 × 13,506.48
  4. Step 4: Simplify right side
    24,837.19x = 462,932,711.09
  5. Step 5: Solve for x
    x = 462,932,711.09/24,837.19
  6. Step 6: Final answer
    x = 18,638.69

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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.