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Finding the Fourth Proportional to 24,415.30, 36,625.84 and 7,769.50

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Solution

The fourth proportional to 24,415.30, 36,625.84 and 7,769.50 is: 11,655.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,415.30 : 36,625.84 = 7,769.50 : x
  2. Step 2: Convert to fraction form
    24,415.30/36,625.84 = 7,769.50/x
  3. Step 3: Cross multiply
    24,415.30x = 36,625.84 × 7,769.50
  4. Step 4: Simplify right side
    24,415.30x = 284,564,463.88
  5. Step 5: Solve for x
    x = 284,564,463.88/24,415.30
  6. Step 6: Final answer
    x = 11,655.17

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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.