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Finding the Fourth Proportional to 18,598.22, 25,666 and 10,214.90

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Solution

The fourth proportional to 18,598.22, 25,666 and 10,214.90 is: 14,096.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,598.22 : 25,666 = 10,214.90 : x
  2. Step 2: Convert to fraction form
    18,598.22/25,666 = 10,214.90/x
  3. Step 3: Cross multiply
    18,598.22x = 25,666 × 10,214.90
  4. Step 4: Simplify right side
    18,598.22x = 262,175,623.40
  5. Step 5: Solve for x
    x = 262,175,623.40/18,598.22
  6. Step 6: Final answer
    x = 14,096.81

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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.