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Finding the Fourth Proportional to 19,114.75, 26,379.02 and 10,617

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Solution

The fourth proportional to 19,114.75, 26,379.02 and 10,617 is: 14,651.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,114.75 : 26,379.02 = 10,617 : x
  2. Step 2: Convert to fraction form
    19,114.75/26,379.02 = 10,617/x
  3. Step 3: Cross multiply
    19,114.75x = 26,379.02 × 10,617
  4. Step 4: Simplify right side
    19,114.75x = 280,066,055.34
  5. Step 5: Solve for x
    x = 280,066,055.34/19,114.75
  6. Step 6: Final answer
    x = 14,651.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.