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Finding the Fourth Proportional to 23,563.60, 35,345.40 and 10,409.20

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Solution

The fourth proportional to 23,563.60, 35,345.40 and 10,409.20 is: 15,613.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,563.60 : 35,345.40 = 10,409.20 : x
  2. Step 2: Convert to fraction form
    23,563.60/35,345.40 = 10,409.20/x
  3. Step 3: Cross multiply
    23,563.60x = 35,345.40 × 10,409.20
  4. Step 4: Simplify right side
    23,563.60x = 367,917,337.68
  5. Step 5: Solve for x
    x = 367,917,337.68/23,563.60
  6. Step 6: Final answer
    x = 15,613.80

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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.