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Finding the Fourth Proportional to 13,046.40, 19,556.80 and 6,809.60

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Solution

The fourth proportional to 13,046.40, 19,556.80 and 6,809.60 is: 10,207.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,046.40 : 19,556.80 = 6,809.60 : x
  2. Step 2: Convert to fraction form
    13,046.40/19,556.80 = 6,809.60/x
  3. Step 3: Cross multiply
    13,046.40x = 19,556.80 × 6,809.60
  4. Step 4: Simplify right side
    13,046.40x = 133,173,985.28
  5. Step 5: Solve for x
    x = 133,173,985.28/13,046.40
  6. Step 6: Final answer
    x = 10,207.72

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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.