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Finding the Fourth Proportional to 14,556.60, 21,834.90 and 5,201.10

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Solution

The fourth proportional to 14,556.60, 21,834.90 and 5,201.10 is: 7,801.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,556.60 : 21,834.90 = 5,201.10 : x
  2. Step 2: Convert to fraction form
    14,556.60/21,834.90 = 5,201.10/x
  3. Step 3: Cross multiply
    14,556.60x = 21,834.90 × 5,201.10
  4. Step 4: Simplify right side
    14,556.60x = 113,565,498.39
  5. Step 5: Solve for x
    x = 113,565,498.39/14,556.60
  6. Step 6: Final answer
    x = 7,801.65

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