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Finding the Fourth Proportional to 13,830.25, 19,087.19 and 8,524.93

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Solution

The fourth proportional to 13,830.25, 19,087.19 and 8,524.93 is: 11,765.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,830.25 : 19,087.19 = 8,524.93 : x
  2. Step 2: Convert to fraction form
    13,830.25/19,087.19 = 8,524.93/x
  3. Step 3: Cross multiply
    13,830.25x = 19,087.19 × 8,524.93
  4. Step 4: Simplify right side
    13,830.25x = 162,716,958.65
  5. Step 5: Solve for x
    x = 162,716,958.65/13,830.25
  6. Step 6: Final answer
    x = 11,765.29

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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.