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Finding the Fourth Proportional to 18,509.75, 27,756.27 and 9,146.11

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Solution

The fourth proportional to 18,509.75, 27,756.27 and 9,146.11 is: 13,715.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,509.75 : 27,756.27 = 9,146.11 : x
  2. Step 2: Convert to fraction form
    18,509.75/27,756.27 = 9,146.11/x
  3. Step 3: Cross multiply
    18,509.75x = 27,756.27 × 9,146.11
  4. Step 4: Simplify right side
    18,509.75x = 253,861,933.31
  5. Step 5: Solve for x
    x = 253,861,933.31/18,509.75
  6. Step 6: Final answer
    x = 13,715.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.