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Finding the Fourth Proportional to 14,406.75, 19,883.12 and 8,440.69

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Solution

The fourth proportional to 14,406.75, 19,883.12 and 8,440.69 is: 11,649.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,406.75 : 19,883.12 = 8,440.69 : x
  2. Step 2: Convert to fraction form
    14,406.75/19,883.12 = 8,440.69/x
  3. Step 3: Cross multiply
    14,406.75x = 19,883.12 × 8,440.69
  4. Step 4: Simplify right side
    14,406.75x = 167,827,252.15
  5. Step 5: Solve for x
    x = 167,827,252.15/14,406.75
  6. Step 6: Final answer
    x = 11,649.21

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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.