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Finding the Fourth Proportional to 24,692, 34,075.68 and 13,514.72

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Solution

The fourth proportional to 24,692, 34,075.68 and 13,514.72 is: 18,650.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,692 : 34,075.68 = 13,514.72 : x
  2. Step 2: Convert to fraction form
    24,692/34,075.68 = 13,514.72/x
  3. Step 3: Cross multiply
    24,692x = 34,075.68 × 13,514.72
  4. Step 4: Simplify right side
    24,692x = 460,523,274.01
  5. Step 5: Solve for x
    x = 460,523,274.01/24,692
  6. Step 6: Final answer
    x = 18,650.71

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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.