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Finding the Fourth Proportional to 13,866.86, 19,137.04 and 9,147.80

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Solution

The fourth proportional to 13,866.86, 19,137.04 and 9,147.80 is: 12,624.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,866.86 : 19,137.04 = 9,147.80 : x
  2. Step 2: Convert to fraction form
    13,866.86/19,137.04 = 9,147.80/x
  3. Step 3: Cross multiply
    13,866.86x = 19,137.04 × 9,147.80
  4. Step 4: Simplify right side
    13,866.86x = 175,061,814.51
  5. Step 5: Solve for x
    x = 175,061,814.51/13,866.86
  6. Step 6: Final answer
    x = 12,624.47

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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.