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Finding the Fourth Proportional to 14,559.84, 21,843.60 and 7,164

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Solution

The fourth proportional to 14,559.84, 21,843.60 and 7,164 is: 10,747.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,559.84 : 21,843.60 = 7,164 : x
  2. Step 2: Convert to fraction form
    14,559.84/21,843.60 = 7,164/x
  3. Step 3: Cross multiply
    14,559.84x = 21,843.60 × 7,164
  4. Step 4: Simplify right side
    14,559.84x = 156,487,550.40
  5. Step 5: Solve for x
    x = 156,487,550.40/14,559.84
  6. Step 6: Final answer
    x = 10,747.89

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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.