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Finding the Fourth Proportional to 14,309.56, 21,445.86 and 6,406.29

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Solution

The fourth proportional to 14,309.56, 21,445.86 and 6,406.29 is: 9,601.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,309.56 : 21,445.86 = 6,406.29 : x
  2. Step 2: Convert to fraction form
    14,309.56/21,445.86 = 6,406.29/x
  3. Step 3: Cross multiply
    14,309.56x = 21,445.86 × 6,406.29
  4. Step 4: Simplify right side
    14,309.56x = 137,388,422.48
  5. Step 5: Solve for x
    x = 137,388,422.48/14,309.56
  6. Step 6: Final answer
    x = 9,601.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.