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Finding the Fourth Proportional to 14,570.82, 20,072.61 and 11,585.70

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Solution

The fourth proportional to 14,570.82, 20,072.61 and 11,585.70 is: 15,960.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,570.82 : 20,072.61 = 11,585.70 : x
  2. Step 2: Convert to fraction form
    14,570.82/20,072.61 = 11,585.70/x
  3. Step 3: Cross multiply
    14,570.82x = 20,072.61 × 11,585.70
  4. Step 4: Simplify right side
    14,570.82x = 232,555,237.68
  5. Step 5: Solve for x
    x = 232,555,237.68/14,570.82
  6. Step 6: Final answer
    x = 15,960.34

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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.