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Finding the Fourth Proportional to 14,099.64, 19,457.73 and 7,811.61

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Solution

The fourth proportional to 14,099.64, 19,457.73 and 7,811.61 is: 10,780.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,099.64 : 19,457.73 = 7,811.61 : x
  2. Step 2: Convert to fraction form
    14,099.64/19,457.73 = 7,811.61/x
  3. Step 3: Cross multiply
    14,099.64x = 19,457.73 × 7,811.61
  4. Step 4: Simplify right side
    14,099.64x = 151,996,198.25
  5. Step 5: Solve for x
    x = 151,996,198.25/14,099.64
  6. Step 6: Final answer
    x = 10,780.15

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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.