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Finding the Fourth Proportional to 24,476.61, 36,715.83 and 7,837.20

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Solution

The fourth proportional to 24,476.61, 36,715.83 and 7,837.20 is: 11,756.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,476.61 : 36,715.83 = 7,837.20 : x
  2. Step 2: Convert to fraction form
    24,476.61/36,715.83 = 7,837.20/x
  3. Step 3: Cross multiply
    24,476.61x = 36,715.83 × 7,837.20
  4. Step 4: Simplify right side
    24,476.61x = 287,749,302.88
  5. Step 5: Solve for x
    x = 287,749,302.88/24,476.61
  6. Step 6: Final answer
    x = 11,756.09

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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.