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Finding the Fourth Proportional to 13,774.80, 19,010.25 and 8,471.46

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Solution

The fourth proportional to 13,774.80, 19,010.25 and 8,471.46 is: 11,691.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,774.80 : 19,010.25 = 8,471.46 : x
  2. Step 2: Convert to fraction form
    13,774.80/19,010.25 = 8,471.46/x
  3. Step 3: Cross multiply
    13,774.80x = 19,010.25 × 8,471.46
  4. Step 4: Simplify right side
    13,774.80x = 161,044,572.47
  5. Step 5: Solve for x
    x = 161,044,572.47/13,774.80
  6. Step 6: Final answer
    x = 11,691.25

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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.