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Finding the Fourth Proportional to 13,144.74, 19,616.51 and 11,742.32

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Solution

The fourth proportional to 13,144.74, 19,616.51 and 11,742.32 is: 17,523.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,144.74 : 19,616.51 = 11,742.32 : x
  2. Step 2: Convert to fraction form
    13,144.74/19,616.51 = 11,742.32/x
  3. Step 3: Cross multiply
    13,144.74x = 19,616.51 × 11,742.32
  4. Step 4: Simplify right side
    13,144.74x = 230,343,328.03
  5. Step 5: Solve for x
    x = 230,343,328.03/13,144.74
  6. Step 6: Final answer
    x = 17,523.61

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.