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Finding the Fourth Proportional to 14,846.91, 20,476.02 and 10,589.86

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Solution

The fourth proportional to 14,846.91, 20,476.02 and 10,589.86 is: 14,604.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,846.91 : 20,476.02 = 10,589.86 : x
  2. Step 2: Convert to fraction form
    14,846.91/20,476.02 = 10,589.86/x
  3. Step 3: Cross multiply
    14,846.91x = 20,476.02 × 10,589.86
  4. Step 4: Simplify right side
    14,846.91x = 216,838,185.16
  5. Step 5: Solve for x
    x = 216,838,185.16/14,846.91
  6. Step 6: Final answer
    x = 14,604.94

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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.