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Finding the Fourth Proportional to 24,419.21, 36,628.43 and 7,779.10

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Solution

The fourth proportional to 24,419.21, 36,628.43 and 7,779.10 is: 11,668.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,419.21 : 36,628.43 = 7,779.10 : x
  2. Step 2: Convert to fraction form
    24,419.21/36,628.43 = 7,779.10/x
  3. Step 3: Cross multiply
    24,419.21x = 36,628.43 × 7,779.10
  4. Step 4: Simplify right side
    24,419.21x = 284,936,219.81
  5. Step 5: Solve for x
    x = 284,936,219.81/24,419.21
  6. Step 6: Final answer
    x = 11,668.53

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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.