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Finding the Fourth Proportional to 25,692.34, 38,541.09 and 6,972.67

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Solution

The fourth proportional to 25,692.34, 38,541.09 and 6,972.67 is: 10,459.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,692.34 : 38,541.09 = 6,972.67 : x
  2. Step 2: Convert to fraction form
    25,692.34/38,541.09 = 6,972.67/x
  3. Step 3: Cross multiply
    25,692.34x = 38,541.09 × 6,972.67
  4. Step 4: Simplify right side
    25,692.34x = 268,734,302.01
  5. Step 5: Solve for x
    x = 268,734,302.01/25,692.34
  6. Step 6: Final answer
    x = 10,459.71

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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.