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Finding the Fourth Proportional to 25,472.68, 35,156.49 and 14,145.84

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Solution

The fourth proportional to 25,472.68, 35,156.49 and 14,145.84 is: 19,523.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,472.68 : 35,156.49 = 14,145.84 : x
  2. Step 2: Convert to fraction form
    25,472.68/35,156.49 = 14,145.84/x
  3. Step 3: Cross multiply
    25,472.68x = 35,156.49 × 14,145.84
  4. Step 4: Simplify right side
    25,472.68x = 497,318,082.50
  5. Step 5: Solve for x
    x = 497,318,082.50/25,472.68
  6. Step 6: Final answer
    x = 19,523.59

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