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Finding the Fourth Proportional to 13,046.58, 19,556.91 and 5,259.78

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Solution

The fourth proportional to 13,046.58, 19,556.91 and 5,259.78 is: 7,884.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,046.58 : 19,556.91 = 5,259.78 : x
  2. Step 2: Convert to fraction form
    13,046.58/19,556.91 = 5,259.78/x
  3. Step 3: Cross multiply
    13,046.58x = 19,556.91 × 5,259.78
  4. Step 4: Simplify right side
    13,046.58x = 102,865,044.08
  5. Step 5: Solve for x
    x = 102,865,044.08/13,046.58
  6. Step 6: Final answer
    x = 7,884.45

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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.