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Finding the Fourth Proportional to 12,814.23, 19,230.03 and 4,494.18

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Solution

The fourth proportional to 12,814.23, 19,230.03 and 4,494.18 is: 6,744.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,814.23 : 19,230.03 = 4,494.18 : x
  2. Step 2: Convert to fraction form
    12,814.23/19,230.03 = 4,494.18/x
  3. Step 3: Cross multiply
    12,814.23x = 19,230.03 × 4,494.18
  4. Step 4: Simplify right side
    12,814.23x = 86,423,216.23
  5. Step 5: Solve for x
    x = 86,423,216.23/12,814.23
  6. Step 6: Final answer
    x = 6,744.32

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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.