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Finding the Fourth Proportional to 25,693.00, 38,539.80 and 10,099.69

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Solution

The fourth proportional to 25,693.00, 38,539.80 and 10,099.69 is: 15,149.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,693.00 : 38,539.80 = 10,099.69 : x
  2. Step 2: Convert to fraction form
    25,693.00/38,539.80 = 10,099.69/x
  3. Step 3: Cross multiply
    25,693.00x = 38,539.80 × 10,099.69
  4. Step 4: Simplify right side
    25,693.00x = 389,239,936.31
  5. Step 5: Solve for x
    x = 389,239,936.31/25,693.00
  6. Step 6: Final answer
    x = 15,149.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.