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Finding the Fourth Proportional to 23,585.80, 35,378.70 and 19,784.20

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Solution

The fourth proportional to 23,585.80, 35,378.70 and 19,784.20 is: 29,676.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,585.80 : 35,378.70 = 19,784.20 : x
  2. Step 2: Convert to fraction form
    23,585.80/35,378.70 = 19,784.20/x
  3. Step 3: Cross multiply
    23,585.80x = 35,378.70 × 19,784.20
  4. Step 4: Simplify right side
    23,585.80x = 699,939,276.54
  5. Step 5: Solve for x
    x = 699,939,276.54/23,585.80
  6. Step 6: Final answer
    x = 29,676.30

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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.