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Finding the Fourth Proportional to 13,283.37, 19,875.84 and 9,775.97

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Solution

The fourth proportional to 13,283.37, 19,875.84 and 9,775.97 is: 14,627.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,283.37 : 19,875.84 = 9,775.97 : x
  2. Step 2: Convert to fraction form
    13,283.37/19,875.84 = 9,775.97/x
  3. Step 3: Cross multiply
    13,283.37x = 19,875.84 × 9,775.97
  4. Step 4: Simplify right side
    13,283.37x = 194,305,467.31
  5. Step 5: Solve for x
    x = 194,305,467.31/13,283.37
  6. Step 6: Final answer
    x = 14,627.73

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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.