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Finding the Fourth Proportional to 13,975.98, 19,284.71 and 8,310.61

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Solution

The fourth proportional to 13,975.98, 19,284.71 and 8,310.61 is: 11,467.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,975.98 : 19,284.71 = 8,310.61 : x
  2. Step 2: Convert to fraction form
    13,975.98/19,284.71 = 8,310.61/x
  3. Step 3: Cross multiply
    13,975.98x = 19,284.71 × 8,310.61
  4. Step 4: Simplify right side
    13,975.98x = 160,267,703.77
  5. Step 5: Solve for x
    x = 160,267,703.77/13,975.98
  6. Step 6: Final answer
    x = 11,467.37

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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.