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Finding the Fourth Proportional to 13,837.68, 19,088.28 and 9,367.74

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Solution

The fourth proportional to 13,837.68, 19,088.28 and 9,367.74 is: 12,922.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,837.68 : 19,088.28 = 9,367.74 : x
  2. Step 2: Convert to fraction form
    13,837.68/19,088.28 = 9,367.74/x
  3. Step 3: Cross multiply
    13,837.68x = 19,088.28 × 9,367.74
  4. Step 4: Simplify right side
    13,837.68x = 178,814,044.09
  5. Step 5: Solve for x
    x = 178,814,044.09/13,837.68
  6. Step 6: Final answer
    x = 12,922.26

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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.