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Finding the Fourth Proportional to 22,969.26, 34,314.33 and 14,582.12

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Solution

The fourth proportional to 22,969.26, 34,314.33 and 14,582.12 is: 21,784.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,969.26 : 34,314.33 = 14,582.12 : x
  2. Step 2: Convert to fraction form
    22,969.26/34,314.33 = 14,582.12/x
  3. Step 3: Cross multiply
    22,969.26x = 34,314.33 × 14,582.12
  4. Step 4: Simplify right side
    22,969.26x = 500,375,506.21
  5. Step 5: Solve for x
    x = 500,375,506.21/22,969.26
  6. Step 6: Final answer
    x = 21,784.57

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.