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Finding the Fourth Proportional to 13,774.76, 19,009.25 and 8,109.75

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Solution

The fourth proportional to 13,774.76, 19,009.25 and 8,109.75 is: 11,191.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,774.76 : 19,009.25 = 8,109.75 : x
  2. Step 2: Convert to fraction form
    13,774.76/19,009.25 = 8,109.75/x
  3. Step 3: Cross multiply
    13,774.76x = 19,009.25 × 8,109.75
  4. Step 4: Simplify right side
    13,774.76x = 154,160,224.64
  5. Step 5: Solve for x
    x = 154,160,224.64/13,774.76
  6. Step 6: Final answer
    x = 11,191.50

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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.