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Finding the Fourth Proportional to 17,367.40, 23,967.94 and 9,814.05

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Solution

The fourth proportional to 17,367.40, 23,967.94 and 9,814.05 is: 13,543.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,367.40 : 23,967.94 = 9,814.05 : x
  2. Step 2: Convert to fraction form
    17,367.40/23,967.94 = 9,814.05/x
  3. Step 3: Cross multiply
    17,367.40x = 23,967.94 × 9,814.05
  4. Step 4: Simplify right side
    17,367.40x = 235,222,483.94
  5. Step 5: Solve for x
    x = 235,222,483.94/17,367.40
  6. Step 6: Final answer
    x = 13,543.91

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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.