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Finding the Fourth Proportional to 15,692.11, 23,536.07 and 5,830.05

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Solution

The fourth proportional to 15,692.11, 23,536.07 and 5,830.05 is: 8,744.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,692.11 : 23,536.07 = 5,830.05 : x
  2. Step 2: Convert to fraction form
    15,692.11/23,536.07 = 5,830.05/x
  3. Step 3: Cross multiply
    15,692.11x = 23,536.07 × 5,830.05
  4. Step 4: Simplify right side
    15,692.11x = 137,216,347.22
  5. Step 5: Solve for x
    x = 137,216,347.22/15,692.11
  6. Step 6: Final answer
    x = 8,744.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.