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Finding the Fourth Proportional to 11,533.83, 17,237.55 and 8,420.40

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Solution

The fourth proportional to 11,533.83, 17,237.55 and 8,420.40 is: 12,584.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,533.83 : 17,237.55 = 8,420.40 : x
  2. Step 2: Convert to fraction form
    11,533.83/17,237.55 = 8,420.40/x
  3. Step 3: Cross multiply
    11,533.83x = 17,237.55 × 8,420.40
  4. Step 4: Simplify right side
    11,533.83x = 145,147,025.43
  5. Step 5: Solve for x
    x = 145,147,025.43/11,533.83
  6. Step 6: Final answer
    x = 12,584.46

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.