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Finding the Fourth Proportional to 14,384.63, 19,846.03 and 8,412.07

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Solution

The fourth proportional to 14,384.63, 19,846.03 and 8,412.07 is: 11,605.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,384.63 : 19,846.03 = 8,412.07 : x
  2. Step 2: Convert to fraction form
    14,384.63/19,846.03 = 8,412.07/x
  3. Step 3: Cross multiply
    14,384.63x = 19,846.03 × 8,412.07
  4. Step 4: Simplify right side
    14,384.63x = 166,946,193.58
  5. Step 5: Solve for x
    x = 166,946,193.58/14,384.63
  6. Step 6: Final answer
    x = 11,605.87

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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.