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Finding the Fourth Proportional to 13,497.23, 18,616.13 and 9,911.06

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Solution

The fourth proportional to 13,497.23, 18,616.13 and 9,911.06 is: 13,669.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,497.23 : 18,616.13 = 9,911.06 : x
  2. Step 2: Convert to fraction form
    13,497.23/18,616.13 = 9,911.06/x
  3. Step 3: Cross multiply
    13,497.23x = 18,616.13 × 9,911.06
  4. Step 4: Simplify right side
    13,497.23x = 184,505,582.91
  5. Step 5: Solve for x
    x = 184,505,582.91/13,497.23
  6. Step 6: Final answer
    x = 13,669.89

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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.