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Finding the Fourth Proportional to 13,171.49, 19,765.02 and 4,857.32

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Solution

The fourth proportional to 13,171.49, 19,765.02 and 4,857.32 is: 7,288.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,171.49 : 19,765.02 = 4,857.32 : x
  2. Step 2: Convert to fraction form
    13,171.49/19,765.02 = 4,857.32/x
  3. Step 3: Cross multiply
    13,171.49x = 19,765.02 × 4,857.32
  4. Step 4: Simplify right side
    13,171.49x = 96,005,026.95
  5. Step 5: Solve for x
    x = 96,005,026.95/13,171.49
  6. Step 6: Final answer
    x = 7,288.85

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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.