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Finding the Fourth Proportional to 13,129.86, 18,128.34 and 10,623.09

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Solution

The fourth proportional to 13,129.86, 18,128.34 and 10,623.09 is: 14,667.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,129.86 : 18,128.34 = 10,623.09 : x
  2. Step 2: Convert to fraction form
    13,129.86/18,128.34 = 10,623.09/x
  3. Step 3: Cross multiply
    13,129.86x = 18,128.34 × 10,623.09
  4. Step 4: Simplify right side
    13,129.86x = 192,578,987.37
  5. Step 5: Solve for x
    x = 192,578,987.37/13,129.86
  6. Step 6: Final answer
    x = 14,667.25

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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.