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Finding the Fourth Proportional to 24,692, 34,075.02 and 13,514

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Solution

The fourth proportional to 24,692, 34,075.02 and 13,514 is: 18,649.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,692 : 34,075.02 = 13,514 : x
  2. Step 2: Convert to fraction form
    24,692/34,075.02 = 13,514/x
  3. Step 3: Cross multiply
    24,692x = 34,075.02 × 13,514
  4. Step 4: Simplify right side
    24,692x = 460,489,820.28
  5. Step 5: Solve for x
    x = 460,489,820.28/24,692
  6. Step 6: Final answer
    x = 18,649.35

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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.