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Finding the Fourth Proportional to 14,496.09, 19,999.71 and 9,190.14

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Solution

The fourth proportional to 14,496.09, 19,999.71 and 9,190.14 is: 12,679.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,496.09 : 19,999.71 = 9,190.14 : x
  2. Step 2: Convert to fraction form
    14,496.09/19,999.71 = 9,190.14/x
  3. Step 3: Cross multiply
    14,496.09x = 19,999.71 × 9,190.14
  4. Step 4: Simplify right side
    14,496.09x = 183,800,134.86
  5. Step 5: Solve for x
    x = 183,800,134.86/14,496.09
  6. Step 6: Final answer
    x = 12,679.29

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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.