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Finding the Fourth Proportional to 14,077.60, 19,426.84 and 8,109.25

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Solution

The fourth proportional to 14,077.60, 19,426.84 and 8,109.25 is: 11,190.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,077.60 : 19,426.84 = 8,109.25 : x
  2. Step 2: Convert to fraction form
    14,077.60/19,426.84 = 8,109.25/x
  3. Step 3: Cross multiply
    14,077.60x = 19,426.84 × 8,109.25
  4. Step 4: Simplify right side
    14,077.60x = 157,537,102.27
  5. Step 5: Solve for x
    x = 157,537,102.27/14,077.60
  6. Step 6: Final answer
    x = 11,190.62

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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.