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Finding the Fourth Proportional to 24,791.88, 34,213.03 and 13,461.50

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Solution

The fourth proportional to 24,791.88, 34,213.03 and 13,461.50 is: 18,576.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,791.88 : 34,213.03 = 13,461.50 : x
  2. Step 2: Convert to fraction form
    24,791.88/34,213.03 = 13,461.50/x
  3. Step 3: Cross multiply
    24,791.88x = 34,213.03 × 13,461.50
  4. Step 4: Simplify right side
    24,791.88x = 460,558,498.63
  5. Step 5: Solve for x
    x = 460,558,498.63/24,791.88
  6. Step 6: Final answer
    x = 18,576.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.