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Finding the Fourth Proportional to 25,377.72, 38,024.64 and 8,728.80

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Solution

The fourth proportional to 25,377.72, 38,024.64 and 8,728.80 is: 13,078.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,377.72 : 38,024.64 = 8,728.80 : x
  2. Step 2: Convert to fraction form
    25,377.72/38,024.64 = 8,728.80/x
  3. Step 3: Cross multiply
    25,377.72x = 38,024.64 × 8,728.80
  4. Step 4: Simplify right side
    25,377.72x = 331,909,477.63
  5. Step 5: Solve for x
    x = 331,909,477.63/25,377.72
  6. Step 6: Final answer
    x = 13,078.77

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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.