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Finding the Fourth Proportional to 15,584.67, 21,506.82 and 9,213.56

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Solution

The fourth proportional to 15,584.67, 21,506.82 and 9,213.56 is: 12,714.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,584.67 : 21,506.82 = 9,213.56 : x
  2. Step 2: Convert to fraction form
    15,584.67/21,506.82 = 9,213.56/x
  3. Step 3: Cross multiply
    15,584.67x = 21,506.82 × 9,213.56
  4. Step 4: Simplify right side
    15,584.67x = 198,154,376.48
  5. Step 5: Solve for x
    x = 198,154,376.48/15,584.67
  6. Step 6: Final answer
    x = 12,714.70

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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.