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Finding the Fourth Proportional to 18,598.50, 25,665.93 and 10,215

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Solution

The fourth proportional to 18,598.50, 25,665.93 and 10,215 is: 14,096.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,598.50 : 25,665.93 = 10,215 : x
  2. Step 2: Convert to fraction form
    18,598.50/25,665.93 = 10,215/x
  3. Step 3: Cross multiply
    18,598.50x = 25,665.93 × 10,215
  4. Step 4: Simplify right side
    18,598.50x = 262,177,474.95
  5. Step 5: Solve for x
    x = 262,177,474.95/18,598.50
  6. Step 6: Final answer
    x = 14,096.70

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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.