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Finding the Fourth Proportional to 24,906.08, 37,364.76 and 7,376

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Solution

The fourth proportional to 24,906.08, 37,364.76 and 7,376 is: 11,065.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,906.08 : 37,364.76 = 7,376 : x
  2. Step 2: Convert to fraction form
    24,906.08/37,364.76 = 7,376/x
  3. Step 3: Cross multiply
    24,906.08x = 37,364.76 × 7,376
  4. Step 4: Simplify right side
    24,906.08x = 275,602,469.76
  5. Step 5: Solve for x
    x = 275,602,469.76/24,906.08
  6. Step 6: Final answer
    x = 11,065.67

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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.