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Finding the Fourth Proportional to 25,562.58, 38,349.64 and 7,794.80

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Solution

The fourth proportional to 25,562.58, 38,349.64 and 7,794.80 is: 11,693.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,562.58 : 38,349.64 = 7,794.80 : x
  2. Step 2: Convert to fraction form
    25,562.58/38,349.64 = 7,794.80/x
  3. Step 3: Cross multiply
    25,562.58x = 38,349.64 × 7,794.80
  4. Step 4: Simplify right side
    25,562.58x = 298,927,773.87
  5. Step 5: Solve for x
    x = 298,927,773.87/25,562.58
  6. Step 6: Final answer
    x = 11,693.96

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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.