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Finding the Fourth Proportional to 25,674.12, 38,493.90 and 13,178.52

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Solution

The fourth proportional to 25,674.12, 38,493.90 and 13,178.52 is: 19,758.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,674.12 : 38,493.90 = 13,178.52 : x
  2. Step 2: Convert to fraction form
    25,674.12/38,493.90 = 13,178.52/x
  3. Step 3: Cross multiply
    25,674.12x = 38,493.90 × 13,178.52
  4. Step 4: Simplify right side
    25,674.12x = 507,292,631.03
  5. Step 5: Solve for x
    x = 507,292,631.03/25,674.12
  6. Step 6: Final answer
    x = 19,758.91

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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.