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Finding the Fourth Proportional to 14,120.75, 19,486.64 and 7,833.13

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Solution

The fourth proportional to 14,120.75, 19,486.64 and 7,833.13 is: 10,809.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,120.75 : 19,486.64 = 7,833.13 : x
  2. Step 2: Convert to fraction form
    14,120.75/19,486.64 = 7,833.13/x
  3. Step 3: Cross multiply
    14,120.75x = 19,486.64 × 7,833.13
  4. Step 4: Simplify right side
    14,120.75x = 152,641,355.25
  5. Step 5: Solve for x
    x = 152,641,355.25/14,120.75
  6. Step 6: Final answer
    x = 10,809.72

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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.