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Finding the Fourth Proportional to 14,232.58, 21,359.76 and 6,446.86

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Solution

The fourth proportional to 14,232.58, 21,359.76 and 6,446.86 is: 9,675.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,232.58 : 21,359.76 = 6,446.86 : x
  2. Step 2: Convert to fraction form
    14,232.58/21,359.76 = 6,446.86/x
  3. Step 3: Cross multiply
    14,232.58x = 21,359.76 × 6,446.86
  4. Step 4: Simplify right side
    14,232.58x = 137,703,382.35
  5. Step 5: Solve for x
    x = 137,703,382.35/14,232.58
  6. Step 6: Final answer
    x = 9,675.22

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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.