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Finding the Fourth Proportional to 13,775.30, 19,010.50 and 8,471.87

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Solution

The fourth proportional to 13,775.30, 19,010.50 and 8,471.87 is: 11,691.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,775.30 : 19,010.50 = 8,471.87 : x
  2. Step 2: Convert to fraction form
    13,775.30/19,010.50 = 8,471.87/x
  3. Step 3: Cross multiply
    13,775.30x = 19,010.50 × 8,471.87
  4. Step 4: Simplify right side
    13,775.30x = 161,054,368.40
  5. Step 5: Solve for x
    x = 161,054,368.40/13,775.30
  6. Step 6: Final answer
    x = 11,691.54

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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.