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Finding the Fourth Proportional to 18,974.14, 26,184.16 and 10,476.25

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Solution

The fourth proportional to 18,974.14, 26,184.16 and 10,476.25 is: 14,457.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,974.14 : 26,184.16 = 10,476.25 : x
  2. Step 2: Convert to fraction form
    18,974.14/26,184.16 = 10,476.25/x
  3. Step 3: Cross multiply
    18,974.14x = 26,184.16 × 10,476.25
  4. Step 4: Simplify right side
    18,974.14x = 274,311,806.20
  5. Step 5: Solve for x
    x = 274,311,806.20/18,974.14
  6. Step 6: Final answer
    x = 14,457.14

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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.