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Finding the Fourth Proportional to 25,176, 37,764.32 and 8,760

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Solution

The fourth proportional to 25,176, 37,764.32 and 8,760 is: 13,140.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,176 : 37,764.32 = 8,760 : x
  2. Step 2: Convert to fraction form
    25,176/37,764.32 = 8,760/x
  3. Step 3: Cross multiply
    25,176x = 37,764.32 × 8,760
  4. Step 4: Simplify right side
    25,176x = 330,815,443.20
  5. Step 5: Solve for x
    x = 330,815,443.20/25,176
  6. Step 6: Final answer
    x = 13,140.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.