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Finding the Fourth Proportional to 23,692.32, 32,674.32 and 15,300

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Solution

The fourth proportional to 23,692.32, 32,674.32 and 15,300 is: 21,100.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,692.32 : 32,674.32 = 15,300 : x
  2. Step 2: Convert to fraction form
    23,692.32/32,674.32 = 15,300/x
  3. Step 3: Cross multiply
    23,692.32x = 32,674.32 × 15,300
  4. Step 4: Simplify right side
    23,692.32x = 499,917,096
  5. Step 5: Solve for x
    x = 499,917,096/23,692.32
  6. Step 6: Final answer
    x = 21,100.39

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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.