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Finding the Fourth Proportional to 14,099.12, 19,456.92 and 7,812.08

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Solution

The fourth proportional to 14,099.12, 19,456.92 and 7,812.08 is: 10,780.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,099.12 : 19,456.92 = 7,812.08 : x
  2. Step 2: Convert to fraction form
    14,099.12/19,456.92 = 7,812.08/x
  3. Step 3: Cross multiply
    14,099.12x = 19,456.92 × 7,812.08
  4. Step 4: Simplify right side
    14,099.12x = 151,999,015.59
  5. Step 5: Solve for x
    x = 151,999,015.59/14,099.12
  6. Step 6: Final answer
    x = 10,780.74

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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.