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Finding the Fourth Proportional to 13,830.84, 19,081.08 and 8,516.43

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Solution

The fourth proportional to 13,830.84, 19,081.08 and 8,516.43 is: 11,749.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,830.84 : 19,081.08 = 8,516.43 : x
  2. Step 2: Convert to fraction form
    13,830.84/19,081.08 = 8,516.43/x
  3. Step 3: Cross multiply
    13,830.84x = 19,081.08 × 8,516.43
  4. Step 4: Simplify right side
    13,830.84x = 162,502,682.14
  5. Step 5: Solve for x
    x = 162,502,682.14/13,830.84
  6. Step 6: Final answer
    x = 11,749.30

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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.