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Finding the Fourth Proportional to 14,644.31, 20,210.60 and 8,357.63

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Solution

The fourth proportional to 14,644.31, 20,210.60 and 8,357.63 is: 11,534.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,644.31 : 20,210.60 = 8,357.63 : x
  2. Step 2: Convert to fraction form
    14,644.31/20,210.60 = 8,357.63/x
  3. Step 3: Cross multiply
    14,644.31x = 20,210.60 × 8,357.63
  4. Step 4: Simplify right side
    14,644.31x = 168,912,675.09
  5. Step 5: Solve for x
    x = 168,912,675.09/14,644.31
  6. Step 6: Final answer
    x = 11,534.36

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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.