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Finding the Fourth Proportional to 13,827.16, 19,081.42 and 7,539.54

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Solution

The fourth proportional to 13,827.16, 19,081.42 and 7,539.54 is: 10,404.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,827.16 : 19,081.42 = 7,539.54 : x
  2. Step 2: Convert to fraction form
    13,827.16/19,081.42 = 7,539.54/x
  3. Step 3: Cross multiply
    13,827.16x = 19,081.42 × 7,539.54
  4. Step 4: Simplify right side
    13,827.16x = 143,865,129.35
  5. Step 5: Solve for x
    x = 143,865,129.35/13,827.16
  6. Step 6: Final answer
    x = 10,404.53

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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.