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Finding the Fourth Proportional to 25,429.86, 38,137.50 and 7,662.24

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Solution

The fourth proportional to 25,429.86, 38,137.50 and 7,662.24 is: 11,491.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,429.86 : 38,137.50 = 7,662.24 : x
  2. Step 2: Convert to fraction form
    25,429.86/38,137.50 = 7,662.24/x
  3. Step 3: Cross multiply
    25,429.86x = 38,137.50 × 7,662.24
  4. Step 4: Simplify right side
    25,429.86x = 292,218,678
  5. Step 5: Solve for x
    x = 292,218,678/25,429.86
  6. Step 6: Final answer
    x = 11,491.16

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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.