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Finding the Fourth Proportional to 25,676.16, 38,501.28 and 12,508.80

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Solution

The fourth proportional to 25,676.16, 38,501.28 and 12,508.80 is: 18,756.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,676.16 : 38,501.28 = 12,508.80 : x
  2. Step 2: Convert to fraction form
    25,676.16/38,501.28 = 12,508.80/x
  3. Step 3: Cross multiply
    25,676.16x = 38,501.28 × 12,508.80
  4. Step 4: Simplify right side
    25,676.16x = 481,604,811.26
  5. Step 5: Solve for x
    x = 481,604,811.26/25,676.16
  6. Step 6: Final answer
    x = 18,756.89

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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.