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Finding the Fourth Proportional to 14,342.40, 21,484.17 and 8,484.75

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Solution

The fourth proportional to 14,342.40, 21,484.17 and 8,484.75 is: 12,709.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,342.40 : 21,484.17 = 8,484.75 : x
  2. Step 2: Convert to fraction form
    14,342.40/21,484.17 = 8,484.75/x
  3. Step 3: Cross multiply
    14,342.40x = 21,484.17 × 8,484.75
  4. Step 4: Simplify right side
    14,342.40x = 182,287,811.41
  5. Step 5: Solve for x
    x = 182,287,811.41/14,342.40
  6. Step 6: Final answer
    x = 12,709.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.