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Finding the Fourth Proportional to 14,590.33, 21,878.20 and 7,568.46

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Solution

The fourth proportional to 14,590.33, 21,878.20 and 7,568.46 is: 11,348.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,590.33 : 21,878.20 = 7,568.46 : x
  2. Step 2: Convert to fraction form
    14,590.33/21,878.20 = 7,568.46/x
  3. Step 3: Cross multiply
    14,590.33x = 21,878.20 × 7,568.46
  4. Step 4: Simplify right side
    14,590.33x = 165,584,352.57
  5. Step 5: Solve for x
    x = 165,584,352.57/14,590.33
  6. Step 6: Final answer
    x = 11,348.91

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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.