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Finding the Fourth Proportional to 14,891, 20,566.86 and 9,914.36

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Solution

The fourth proportional to 14,891, 20,566.86 and 9,914.36 is: 13,693.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,891 : 20,566.86 = 9,914.36 : x
  2. Step 2: Convert to fraction form
    14,891/20,566.86 = 9,914.36/x
  3. Step 3: Cross multiply
    14,891x = 20,566.86 × 9,914.36
  4. Step 4: Simplify right side
    14,891x = 203,907,254.11
  5. Step 5: Solve for x
    x = 203,907,254.11/14,891
  6. Step 6: Final answer
    x = 13,693.32

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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.