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Finding the Fourth Proportional to 14,021.34, 19,349.94 and 8,054.10

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Solution

The fourth proportional to 14,021.34, 19,349.94 and 8,054.10 is: 11,114.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,021.34 : 19,349.94 = 8,054.10 : x
  2. Step 2: Convert to fraction form
    14,021.34/19,349.94 = 8,054.10/x
  3. Step 3: Cross multiply
    14,021.34x = 19,349.94 × 8,054.10
  4. Step 4: Simplify right side
    14,021.34x = 155,846,351.75
  5. Step 5: Solve for x
    x = 155,846,351.75/14,021.34
  6. Step 6: Final answer
    x = 11,114.94

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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.