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Finding the Fourth Proportional to 16,459.20, 24,692.40 and 8,143.20

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Solution

The fourth proportional to 16,459.20, 24,692.40 and 8,143.20 is: 12,216.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,459.20 : 24,692.40 = 8,143.20 : x
  2. Step 2: Convert to fraction form
    16,459.20/24,692.40 = 8,143.20/x
  3. Step 3: Cross multiply
    16,459.20x = 24,692.40 × 8,143.20
  4. Step 4: Simplify right side
    16,459.20x = 201,075,151.68
  5. Step 5: Solve for x
    x = 201,075,151.68/16,459.20
  6. Step 6: Final answer
    x = 12,216.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.