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Finding the Fourth Proportional to 19,585.34, 27,033.94 and 12,511.77

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Solution

The fourth proportional to 19,585.34, 27,033.94 and 12,511.77 is: 17,270.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,585.34 : 27,033.94 = 12,511.77 : x
  2. Step 2: Convert to fraction form
    19,585.34/27,033.94 = 12,511.77/x
  3. Step 3: Cross multiply
    19,585.34x = 27,033.94 × 12,511.77
  4. Step 4: Simplify right side
    19,585.34x = 338,242,336.14
  5. Step 5: Solve for x
    x = 338,242,336.14/19,585.34
  6. Step 6: Final answer
    x = 17,270.18

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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.