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Finding the Fourth Proportional to 18,465.14, 27,697.49 and 12,527.31

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Solution

The fourth proportional to 18,465.14, 27,697.49 and 12,527.31 is: 18,790.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,465.14 : 27,697.49 = 12,527.31 : x
  2. Step 2: Convert to fraction form
    18,465.14/27,697.49 = 12,527.31/x
  3. Step 3: Cross multiply
    18,465.14x = 27,697.49 × 12,527.31
  4. Step 4: Simplify right side
    18,465.14x = 346,974,980.82
  5. Step 5: Solve for x
    x = 346,974,980.82/18,465.14
  6. Step 6: Final answer
    x = 18,790.82

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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.