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Finding the Fourth Proportional to 18,460.47, 27,690.70 and 10,193.05

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Solution

The fourth proportional to 18,460.47, 27,690.70 and 10,193.05 is: 15,289.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,460.47 : 27,690.70 = 10,193.05 : x
  2. Step 2: Convert to fraction form
    18,460.47/27,690.70 = 10,193.05/x
  3. Step 3: Cross multiply
    18,460.47x = 27,690.70 × 10,193.05
  4. Step 4: Simplify right side
    18,460.47x = 282,252,569.44
  5. Step 5: Solve for x
    x = 282,252,569.44/18,460.47
  6. Step 6: Final answer
    x = 15,289.57

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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.