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Finding the Fourth Proportional to 19,556.80, 29,335.20 and 6,409.60

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Solution

The fourth proportional to 19,556.80, 29,335.20 and 6,409.60 is: 9,614.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,556.80 : 29,335.20 = 6,409.60 : x
  2. Step 2: Convert to fraction form
    19,556.80/29,335.20 = 6,409.60/x
  3. Step 3: Cross multiply
    19,556.80x = 29,335.20 × 6,409.60
  4. Step 4: Simplify right side
    19,556.80x = 188,026,897.92
  5. Step 5: Solve for x
    x = 188,026,897.92/19,556.80
  6. Step 6: Final answer
    x = 9,614.40

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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.