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Finding the Fourth Proportional to 25,756.56, 35,543.57 and 14,270.38

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Solution

The fourth proportional to 25,756.56, 35,543.57 and 14,270.38 is: 19,692.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,756.56 : 35,543.57 = 14,270.38 : x
  2. Step 2: Convert to fraction form
    25,756.56/35,543.57 = 14,270.38/x
  3. Step 3: Cross multiply
    25,756.56x = 35,543.57 × 14,270.38
  4. Step 4: Simplify right side
    25,756.56x = 507,220,090.25
  5. Step 5: Solve for x
    x = 507,220,090.25/25,756.56
  6. Step 6: Final answer
    x = 19,692.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.