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Finding the Fourth Proportional to 13,828.73, 19,078.20 and 8,514.32

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Solution

The fourth proportional to 13,828.73, 19,078.20 and 8,514.32 is: 11,746.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,828.73 : 19,078.20 = 8,514.32 : x
  2. Step 2: Convert to fraction form
    13,828.73/19,078.20 = 8,514.32/x
  3. Step 3: Cross multiply
    13,828.73x = 19,078.20 × 8,514.32
  4. Step 4: Simplify right side
    13,828.73x = 162,437,804.43
  5. Step 5: Solve for x
    x = 162,437,804.43/13,828.73
  6. Step 6: Final answer
    x = 11,746.40

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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.