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Finding the Fourth Proportional to 12,814.81, 19,225.46 and 3,580.81

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Solution

The fourth proportional to 12,814.81, 19,225.46 and 3,580.81 is: 5,372.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,814.81 : 19,225.46 = 3,580.81 : x
  2. Step 2: Convert to fraction form
    12,814.81/19,225.46 = 3,580.81/x
  3. Step 3: Cross multiply
    12,814.81x = 19,225.46 × 3,580.81
  4. Step 4: Simplify right side
    12,814.81x = 68,842,719.42
  5. Step 5: Solve for x
    x = 68,842,719.42/12,814.81
  6. Step 6: Final answer
    x = 5,372.12

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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.