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Finding the Fourth Proportional to 14,412.69, 19,889.81 and 8,125.06

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Solution

The fourth proportional to 14,412.69, 19,889.81 and 8,125.06 is: 11,212.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,412.69 : 19,889.81 = 8,125.06 : x
  2. Step 2: Convert to fraction form
    14,412.69/19,889.81 = 8,125.06/x
  3. Step 3: Cross multiply
    14,412.69x = 19,889.81 × 8,125.06
  4. Step 4: Simplify right side
    14,412.69x = 161,605,899.64
  5. Step 5: Solve for x
    x = 161,605,899.64/14,412.69
  6. Step 6: Final answer
    x = 11,212.75

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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.