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Finding the Fourth Proportional to 14,560.89, 21,844.44 and 8,323.89

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Solution

The fourth proportional to 14,560.89, 21,844.44 and 8,323.89 is: 12,487.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,560.89 : 21,844.44 = 8,323.89 : x
  2. Step 2: Convert to fraction form
    14,560.89/21,844.44 = 8,323.89/x
  3. Step 3: Cross multiply
    14,560.89x = 21,844.44 × 8,323.89
  4. Step 4: Simplify right side
    14,560.89x = 181,830,715.67
  5. Step 5: Solve for x
    x = 181,830,715.67/14,560.89
  6. Step 6: Final answer
    x = 12,487.61

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Why These Related Problems?

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