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Finding the Fourth Proportional to 13,839, 19,106.46 and 8,879.64

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Solution

The fourth proportional to 13,839, 19,106.46 and 8,879.64 is: 12,259.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,839 : 19,106.46 = 8,879.64 : x
  2. Step 2: Convert to fraction form
    13,839/19,106.46 = 8,879.64/x
  3. Step 3: Cross multiply
    13,839x = 19,106.46 × 8,879.64
  4. Step 4: Simplify right side
    13,839x = 169,658,486.47
  5. Step 5: Solve for x
    x = 169,658,486.47/13,839
  6. Step 6: Final answer
    x = 12,259.45

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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.