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Finding the Fourth Proportional to 28,499.14, 42,749.31 and 9,779.08

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Solution

The fourth proportional to 28,499.14, 42,749.31 and 9,779.08 is: 14,668.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,499.14 : 42,749.31 = 9,779.08 : x
  2. Step 2: Convert to fraction form
    28,499.14/42,749.31 = 9,779.08/x
  3. Step 3: Cross multiply
    28,499.14x = 42,749.31 × 9,779.08
  4. Step 4: Simplify right side
    28,499.14x = 418,048,922.43
  5. Step 5: Solve for x
    x = 418,048,922.43/28,499.14
  6. Step 6: Final answer
    x = 14,668.83

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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.