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Finding the Fourth Proportional to 13,497.36, 18,616.31 and 9,911.19

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Solution

The fourth proportional to 13,497.36, 18,616.31 and 9,911.19 is: 13,670.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,497.36 : 18,616.31 = 9,911.19 : x
  2. Step 2: Convert to fraction form
    13,497.36/18,616.31 = 9,911.19/x
  3. Step 3: Cross multiply
    13,497.36x = 18,616.31 × 9,911.19
  4. Step 4: Simplify right side
    13,497.36x = 184,509,642.87
  5. Step 5: Solve for x
    x = 184,509,642.87/13,497.36
  6. Step 6: Final answer
    x = 13,670.06

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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.