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Finding the Fourth Proportional to 13,827.76, 19,083.20 and 7,857.16

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Solution

The fourth proportional to 13,827.76, 19,083.20 and 7,857.16 is: 10,843.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,827.76 : 19,083.20 = 7,857.16 : x
  2. Step 2: Convert to fraction form
    13,827.76/19,083.20 = 7,857.16/x
  3. Step 3: Cross multiply
    13,827.76x = 19,083.20 × 7,857.16
  4. Step 4: Simplify right side
    13,827.76x = 149,939,755.71
  5. Step 5: Solve for x
    x = 149,939,755.71/13,827.76
  6. Step 6: Final answer
    x = 10,843.39

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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.