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Finding the Fourth Proportional to 13,774.13, 19,008.36 and 7,486.50

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Solution

The fourth proportional to 13,774.13, 19,008.36 and 7,486.50 is: 10,331.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,774.13 : 19,008.36 = 7,486.50 : x
  2. Step 2: Convert to fraction form
    13,774.13/19,008.36 = 7,486.50/x
  3. Step 3: Cross multiply
    13,774.13x = 19,008.36 × 7,486.50
  4. Step 4: Simplify right side
    13,774.13x = 142,306,087.14
  5. Step 5: Solve for x
    x = 142,306,087.14/13,774.13
  6. Step 6: Final answer
    x = 10,331.41

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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.