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Finding the Fourth Proportional to 14,593.50, 21,893.45 and 4,733.77

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Solution

The fourth proportional to 14,593.50, 21,893.45 and 4,733.77 is: 7,101.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,593.50 : 21,893.45 = 4,733.77 : x
  2. Step 2: Convert to fraction form
    14,593.50/21,893.45 = 4,733.77/x
  3. Step 3: Cross multiply
    14,593.50x = 21,893.45 × 4,733.77
  4. Step 4: Simplify right side
    14,593.50x = 103,638,556.81
  5. Step 5: Solve for x
    x = 103,638,556.81/14,593.50
  6. Step 6: Final answer
    x = 7,101.69

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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.