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Finding the Fourth Proportional to 24,768.32, 37,128 and 9,181.76

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Solution

The fourth proportional to 24,768.32, 37,128 and 9,181.76 is: 13,763.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,768.32 : 37,128 = 9,181.76 : x
  2. Step 2: Convert to fraction form
    24,768.32/37,128 = 9,181.76/x
  3. Step 3: Cross multiply
    24,768.32x = 37,128 × 9,181.76
  4. Step 4: Simplify right side
    24,768.32x = 340,900,385.28
  5. Step 5: Solve for x
    x = 340,900,385.28/24,768.32
  6. Step 6: Final answer
    x = 13,763.57

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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.