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Finding the Fourth Proportional to 14,389.76, 19,858.24 and 8,102.36

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Solution

The fourth proportional to 14,389.76, 19,858.24 and 8,102.36 is: 11,181.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,389.76 : 19,858.24 = 8,102.36 : x
  2. Step 2: Convert to fraction form
    14,389.76/19,858.24 = 8,102.36/x
  3. Step 3: Cross multiply
    14,389.76x = 19,858.24 × 8,102.36
  4. Step 4: Simplify right side
    14,389.76x = 160,898,609.45
  5. Step 5: Solve for x
    x = 160,898,609.45/14,389.76
  6. Step 6: Final answer
    x = 11,181.47

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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.