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Finding the Fourth Proportional to 13,114.76, 18,088.92 and 8,072.33

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Solution

The fourth proportional to 13,114.76, 18,088.92 and 8,072.33 is: 11,134.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,114.76 : 18,088.92 = 8,072.33 : x
  2. Step 2: Convert to fraction form
    13,114.76/18,088.92 = 8,072.33/x
  3. Step 3: Cross multiply
    13,114.76x = 18,088.92 × 8,072.33
  4. Step 4: Simplify right side
    13,114.76x = 146,019,641.14
  5. Step 5: Solve for x
    x = 146,019,641.14/13,114.76
  6. Step 6: Final answer
    x = 11,134.00

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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.