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Finding the Fourth Proportional to 24,419.28, 36,628.52 and 7,779.04

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Solution

The fourth proportional to 24,419.28, 36,628.52 and 7,779.04 is: 11,668.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,419.28 : 36,628.52 = 7,779.04 : x
  2. Step 2: Convert to fraction form
    24,419.28/36,628.52 = 7,779.04/x
  3. Step 3: Cross multiply
    24,419.28x = 36,628.52 × 7,779.04
  4. Step 4: Simplify right side
    24,419.28x = 284,934,722.22
  5. Step 5: Solve for x
    x = 284,934,722.22/24,419.28
  6. Step 6: Final answer
    x = 11,668.43

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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.