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Finding the Fourth Proportional to 16,459.62, 24,692.00 and 7,102.28

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Solution

The fourth proportional to 16,459.62, 24,692.00 and 7,102.28 is: 10,654.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,459.62 : 24,692.00 = 7,102.28 : x
  2. Step 2: Convert to fraction form
    16,459.62/24,692.00 = 7,102.28/x
  3. Step 3: Cross multiply
    16,459.62x = 24,692.00 × 7,102.28
  4. Step 4: Simplify right side
    16,459.62x = 175,369,338.79
  5. Step 5: Solve for x
    x = 175,369,338.79/16,459.62
  6. Step 6: Final answer
    x = 10,654.52

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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.