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Finding the Fourth Proportional to 13,490.84, 18,623.42 and 9,899.45

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Solution

The fourth proportional to 13,490.84, 18,623.42 and 9,899.45 is: 13,665.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,490.84 : 18,623.42 = 9,899.45 : x
  2. Step 2: Convert to fraction form
    13,490.84/18,623.42 = 9,899.45/x
  3. Step 3: Cross multiply
    13,490.84x = 18,623.42 × 9,899.45
  4. Step 4: Simplify right side
    13,490.84x = 184,361,546.75
  5. Step 5: Solve for x
    x = 184,361,546.75/13,490.84
  6. Step 6: Final answer
    x = 13,665.69

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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.