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Finding the Fourth Proportional to 25,758.96, 38,575.08 and 12,568.80

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Solution

The fourth proportional to 25,758.96, 38,575.08 and 12,568.80 is: 18,822.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,758.96 : 38,575.08 = 12,568.80 : x
  2. Step 2: Convert to fraction form
    25,758.96/38,575.08 = 12,568.80/x
  3. Step 3: Cross multiply
    25,758.96x = 38,575.08 × 12,568.80
  4. Step 4: Simplify right side
    25,758.96x = 484,842,465.50
  5. Step 5: Solve for x
    x = 484,842,465.50/25,758.96
  6. Step 6: Final answer
    x = 18,822.28

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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.