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Finding the Fourth Proportional to 14,588.48, 20,129.88 and 8,214.74

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Solution

The fourth proportional to 14,588.48, 20,129.88 and 8,214.74 is: 11,335.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,588.48 : 20,129.88 = 8,214.74 : x
  2. Step 2: Convert to fraction form
    14,588.48/20,129.88 = 8,214.74/x
  3. Step 3: Cross multiply
    14,588.48x = 20,129.88 × 8,214.74
  4. Step 4: Simplify right side
    14,588.48x = 165,361,736.07
  5. Step 5: Solve for x
    x = 165,361,736.07/14,588.48
  6. Step 6: Final answer
    x = 11,335.09

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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.