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Finding the Fourth Proportional to 24,739.20, 34,140.02 and 13,409.02

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Solution

The fourth proportional to 24,739.20, 34,140.02 and 13,409.02 is: 18,504.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,739.20 : 34,140.02 = 13,409.02 : x
  2. Step 2: Convert to fraction form
    24,739.20/34,140.02 = 13,409.02/x
  3. Step 3: Cross multiply
    24,739.20x = 34,140.02 × 13,409.02
  4. Step 4: Simplify right side
    24,739.20x = 457,784,210.98
  5. Step 5: Solve for x
    x = 457,784,210.98/24,739.20
  6. Step 6: Final answer
    x = 18,504.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.