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Finding the Fourth Proportional to 14,384.88, 19,846.37 and 8,412.32

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Solution

The fourth proportional to 14,384.88, 19,846.37 and 8,412.32 is: 11,606.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,384.88 : 19,846.37 = 8,412.32 : x
  2. Step 2: Convert to fraction form
    14,384.88/19,846.37 = 8,412.32/x
  3. Step 3: Cross multiply
    14,384.88x = 19,846.37 × 8,412.32
  4. Step 4: Simplify right side
    14,384.88x = 166,954,085.93
  5. Step 5: Solve for x
    x = 166,954,085.93/14,384.88
  6. Step 6: Final answer
    x = 11,606.22

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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.