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Finding the Fourth Proportional to 24,664.72, 36,988.08 and 7,129.84

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Solution

The fourth proportional to 24,664.72, 36,988.08 and 7,129.84 is: 10,692.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,664.72 : 36,988.08 = 7,129.84 : x
  2. Step 2: Convert to fraction form
    24,664.72/36,988.08 = 7,129.84/x
  3. Step 3: Cross multiply
    24,664.72x = 36,988.08 × 7,129.84
  4. Step 4: Simplify right side
    24,664.72x = 263,719,092.31
  5. Step 5: Solve for x
    x = 263,719,092.31/24,664.72
  6. Step 6: Final answer
    x = 10,692.16

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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.