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Finding the Fourth Proportional to 14,367.37, 21,543.75 and 6,569.50

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Solution

The fourth proportional to 14,367.37, 21,543.75 and 6,569.50 is: 9,850.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,367.37 : 21,543.75 = 6,569.50 : x
  2. Step 2: Convert to fraction form
    14,367.37/21,543.75 = 6,569.50/x
  3. Step 3: Cross multiply
    14,367.37x = 21,543.75 × 6,569.50
  4. Step 4: Simplify right side
    14,367.37x = 141,531,665.63
  5. Step 5: Solve for x
    x = 141,531,665.63/14,367.37
  6. Step 6: Final answer
    x = 9,850.91

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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.