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Finding the Fourth Proportional to 18,598.16, 25,665.44 and 10,214.66

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Solution

The fourth proportional to 18,598.16, 25,665.44 and 10,214.66 is: 14,096.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,598.16 : 25,665.44 = 10,214.66 : x
  2. Step 2: Convert to fraction form
    18,598.16/25,665.44 = 10,214.66/x
  3. Step 3: Cross multiply
    18,598.16x = 25,665.44 × 10,214.66
  4. Step 4: Simplify right side
    18,598.16x = 262,163,563.95
  5. Step 5: Solve for x
    x = 262,163,563.95/18,598.16
  6. Step 6: Final answer
    x = 14,096.21

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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.