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Finding the Fourth Proportional to 24,692.50, 34,075.74 and 17,253.46

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Solution

The fourth proportional to 24,692.50, 34,075.74 and 17,253.46 is: 23,809.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,692.50 : 34,075.74 = 17,253.46 : x
  2. Step 2: Convert to fraction form
    24,692.50/34,075.74 = 17,253.46/x
  3. Step 3: Cross multiply
    24,692.50x = 34,075.74 × 17,253.46
  4. Step 4: Simplify right side
    24,692.50x = 587,924,417.06
  5. Step 5: Solve for x
    x = 587,924,417.06/24,692.50
  6. Step 6: Final answer
    x = 23,809.84

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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.