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Finding the Fourth Proportional to 8,698.24, 13,047.36 and 2,542.40

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Solution

The fourth proportional to 8,698.24, 13,047.36 and 2,542.40 is: 3,813.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,698.24 : 13,047.36 = 2,542.40 : x
  2. Step 2: Convert to fraction form
    8,698.24/13,047.36 = 2,542.40/x
  3. Step 3: Cross multiply
    8,698.24x = 13,047.36 × 2,542.40
  4. Step 4: Simplify right side
    8,698.24x = 33,171,608.06
  5. Step 5: Solve for x
    x = 33,171,608.06/8,698.24
  6. Step 6: Final answer
    x = 3,813.60

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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.