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Finding the Fourth Proportional to 15,692.66, 23,536.38 and 5,162.81

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Solution

The fourth proportional to 15,692.66, 23,536.38 and 5,162.81 is: 7,743.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,692.66 : 23,536.38 = 5,162.81 : x
  2. Step 2: Convert to fraction form
    15,692.66/23,536.38 = 5,162.81/x
  3. Step 3: Cross multiply
    15,692.66x = 23,536.38 × 5,162.81
  4. Step 4: Simplify right side
    15,692.66x = 121,513,740.35
  5. Step 5: Solve for x
    x = 121,513,740.35/15,692.66
  6. Step 6: Final answer
    x = 7,743.35

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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.