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Finding the Fourth Proportional to 15,692.83, 23,537.40 and 5,829.46

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Solution

The fourth proportional to 15,692.83, 23,537.40 and 5,829.46 is: 8,743.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,692.83 : 23,537.40 = 5,829.46 : x
  2. Step 2: Convert to fraction form
    15,692.83/23,537.40 = 5,829.46/x
  3. Step 3: Cross multiply
    15,692.83x = 23,537.40 × 5,829.46
  4. Step 4: Simplify right side
    15,692.83x = 137,210,331.80
  5. Step 5: Solve for x
    x = 137,210,331.80/15,692.83
  6. Step 6: Final answer
    x = 8,743.50

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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.