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Finding the Fourth Proportional to 18,460.83, 27,697.74 and 11,527.23

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Solution

The fourth proportional to 18,460.83, 27,697.74 and 11,527.23 is: 17,294.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,460.83 : 27,697.74 = 11,527.23 : x
  2. Step 2: Convert to fraction form
    18,460.83/27,697.74 = 11,527.23/x
  3. Step 3: Cross multiply
    18,460.83x = 27,697.74 × 11,527.23
  4. Step 4: Simplify right side
    18,460.83x = 319,278,219.46
  5. Step 5: Solve for x
    x = 319,278,219.46/18,460.83
  6. Step 6: Final answer
    x = 17,294.90

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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.