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Finding the Fourth Proportional to 12,765.66, 19,149.48 and 4,000.50

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Solution

The fourth proportional to 12,765.66, 19,149.48 and 4,000.50 is: 6,001.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,765.66 : 19,149.48 = 4,000.50 : x
  2. Step 2: Convert to fraction form
    12,765.66/19,149.48 = 4,000.50/x
  3. Step 3: Cross multiply
    12,765.66x = 19,149.48 × 4,000.50
  4. Step 4: Simplify right side
    12,765.66x = 76,607,494.74
  5. Step 5: Solve for x
    x = 76,607,494.74/12,765.66
  6. Step 6: Final answer
    x = 6,001.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.