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Finding the Fourth Proportional to 14,713.59, 20,302.47 and 8,424.75

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Solution

The fourth proportional to 14,713.59, 20,302.47 and 8,424.75 is: 11,624.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,713.59 : 20,302.47 = 8,424.75 : x
  2. Step 2: Convert to fraction form
    14,713.59/20,302.47 = 8,424.75/x
  3. Step 3: Cross multiply
    14,713.59x = 20,302.47 × 8,424.75
  4. Step 4: Simplify right side
    14,713.59x = 171,043,234.13
  5. Step 5: Solve for x
    x = 171,043,234.13/14,713.59
  6. Step 6: Final answer
    x = 11,624.85

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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.