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Finding the Fourth Proportional to 14,098.92, 19,456.65 and 7,811.25

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Solution

The fourth proportional to 14,098.92, 19,456.65 and 7,811.25 is: 10,779.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,098.92 : 19,456.65 = 7,811.25 : x
  2. Step 2: Convert to fraction form
    14,098.92/19,456.65 = 7,811.25/x
  3. Step 3: Cross multiply
    14,098.92x = 19,456.65 × 7,811.25
  4. Step 4: Simplify right side
    14,098.92x = 151,980,757.31
  5. Step 5: Solve for x
    x = 151,980,757.31/14,098.92
  6. Step 6: Final answer
    x = 10,779.60

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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.