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Finding the Fourth Proportional to 13,267.57, 18,308.72 and 7,816.59

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Solution

The fourth proportional to 13,267.57, 18,308.72 and 7,816.59 is: 10,786.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,267.57 : 18,308.72 = 7,816.59 : x
  2. Step 2: Convert to fraction form
    13,267.57/18,308.72 = 7,816.59/x
  3. Step 3: Cross multiply
    13,267.57x = 18,308.72 × 7,816.59
  4. Step 4: Simplify right side
    13,267.57x = 143,111,740.47
  5. Step 5: Solve for x
    x = 143,111,740.47/13,267.57
  6. Step 6: Final answer
    x = 10,786.58

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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.