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Finding the Fourth Proportional to 25,850.93, 38,779.70 and 9,212.64

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Solution

The fourth proportional to 25,850.93, 38,779.70 and 9,212.64 is: 13,820.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,850.93 : 38,779.70 = 9,212.64 : x
  2. Step 2: Convert to fraction form
    25,850.93/38,779.70 = 9,212.64/x
  3. Step 3: Cross multiply
    25,850.93x = 38,779.70 × 9,212.64
  4. Step 4: Simplify right side
    25,850.93x = 357,263,387.52
  5. Step 5: Solve for x
    x = 357,263,387.52/25,850.93
  6. Step 6: Final answer
    x = 13,820.14

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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.