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Finding the Fourth Proportional to 25,783.99, 38,679.69 and 9,779.42

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Solution

The fourth proportional to 25,783.99, 38,679.69 and 9,779.42 is: 14,670.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,783.99 : 38,679.69 = 9,779.42 : x
  2. Step 2: Convert to fraction form
    25,783.99/38,679.69 = 9,779.42/x
  3. Step 3: Cross multiply
    25,783.99x = 38,679.69 × 9,779.42
  4. Step 4: Simplify right side
    25,783.99x = 378,264,777.25
  5. Step 5: Solve for x
    x = 378,264,777.25/25,783.99
  6. Step 6: Final answer
    x = 14,670.53

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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.