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Finding the Fourth Proportional to 24,692.50, 34,075.65 and 13,514.50

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Solution

The fourth proportional to 24,692.50, 34,075.65 and 13,514.50 is: 18,650.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,692.50 : 34,075.65 = 13,514.50 : x
  2. Step 2: Convert to fraction form
    24,692.50/34,075.65 = 13,514.50/x
  3. Step 3: Cross multiply
    24,692.50x = 34,075.65 × 13,514.50
  4. Step 4: Simplify right side
    24,692.50x = 460,515,371.93
  5. Step 5: Solve for x
    x = 460,515,371.93/24,692.50
  6. Step 6: Final answer
    x = 18,650.01

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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.