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Finding the Fourth Proportional to 15,692.10, 23,546.17 and 10,430.70

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Solution

The fourth proportional to 15,692.10, 23,546.17 and 10,430.70 is: 15,651.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,692.10 : 23,546.17 = 10,430.70 : x
  2. Step 2: Convert to fraction form
    15,692.10/23,546.17 = 10,430.70/x
  3. Step 3: Cross multiply
    15,692.10x = 23,546.17 × 10,430.70
  4. Step 4: Simplify right side
    15,692.10x = 245,602,997.05
  5. Step 5: Solve for x
    x = 245,602,997.05/15,692.10
  6. Step 6: Final answer
    x = 15,651.37

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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.