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Finding the Fourth Proportional to 12,814.88, 19,225.15 and 5,425.65

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Solution

The fourth proportional to 12,814.88, 19,225.15 and 5,425.65 is: 8,139.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,814.88 : 19,225.15 = 5,425.65 : x
  2. Step 2: Convert to fraction form
    12,814.88/19,225.15 = 5,425.65/x
  3. Step 3: Cross multiply
    12,814.88x = 19,225.15 × 5,425.65
  4. Step 4: Simplify right side
    12,814.88x = 104,308,921.53
  5. Step 5: Solve for x
    x = 104,308,921.53/12,814.88
  6. Step 6: Final answer
    x = 8,139.68

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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.