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Finding the Fourth Proportional to 18,717.50, 25,830.34 and 10,334.18

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Solution

The fourth proportional to 18,717.50, 25,830.34 and 10,334.18 is: 14,261.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,717.50 : 25,830.34 = 10,334.18 : x
  2. Step 2: Convert to fraction form
    18,717.50/25,830.34 = 10,334.18/x
  3. Step 3: Cross multiply
    18,717.50x = 25,830.34 × 10,334.18
  4. Step 4: Simplify right side
    18,717.50x = 266,935,383.02
  5. Step 5: Solve for x
    x = 266,935,383.02/18,717.50
  6. Step 6: Final answer
    x = 14,261.27

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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.