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Finding the Fourth Proportional to 12,530.25, 18,780.80 and 5,125.74

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Solution

The fourth proportional to 12,530.25, 18,780.80 and 5,125.74 is: 7,682.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,530.25 : 18,780.80 = 5,125.74 : x
  2. Step 2: Convert to fraction form
    12,530.25/18,780.80 = 5,125.74/x
  3. Step 3: Cross multiply
    12,530.25x = 18,780.80 × 5,125.74
  4. Step 4: Simplify right side
    12,530.25x = 96,265,401.74
  5. Step 5: Solve for x
    x = 96,265,401.74/12,530.25
  6. Step 6: Final answer
    x = 7,682.64

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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.