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Finding the Fourth Proportional to 14,099.84, 19,456.28 and 7,811.60

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Solution

The fourth proportional to 14,099.84, 19,456.28 and 7,811.60 is: 10,779.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,099.84 : 19,456.28 = 7,811.60 : x
  2. Step 2: Convert to fraction form
    14,099.84/19,456.28 = 7,811.60/x
  3. Step 3: Cross multiply
    14,099.84x = 19,456.28 × 7,811.60
  4. Step 4: Simplify right side
    14,099.84x = 151,984,676.85
  5. Step 5: Solve for x
    x = 151,984,676.85/14,099.84
  6. Step 6: Final answer
    x = 10,779.18

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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.