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Finding the Fourth Proportional to 18,641.64, 25,730.52 and 10,991.60

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Solution

The fourth proportional to 18,641.64, 25,730.52 and 10,991.60 is: 15,171.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,641.64 : 25,730.52 = 10,991.60 : x
  2. Step 2: Convert to fraction form
    18,641.64/25,730.52 = 10,991.60/x
  3. Step 3: Cross multiply
    18,641.64x = 25,730.52 × 10,991.60
  4. Step 4: Simplify right side
    18,641.64x = 282,819,583.63
  5. Step 5: Solve for x
    x = 282,819,583.63/18,641.64
  6. Step 6: Final answer
    x = 15,171.39

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Why These Related Problems?

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