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Finding the Fourth Proportional to 18,719.24, 25,833.61 and 10,222.16

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Solution

The fourth proportional to 18,719.24, 25,833.61 and 10,222.16 is: 14,107.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,719.24 : 25,833.61 = 10,222.16 : x
  2. Step 2: Convert to fraction form
    18,719.24/25,833.61 = 10,222.16/x
  3. Step 3: Cross multiply
    18,719.24x = 25,833.61 × 10,222.16
  4. Step 4: Simplify right side
    18,719.24x = 264,075,140.07
  5. Step 5: Solve for x
    x = 264,075,140.07/18,719.24
  6. Step 6: Final answer
    x = 14,107.15

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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.