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Finding the Fourth Proportional to 20,306.64, 30,416.76 and 11,537.04

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Solution

The fourth proportional to 20,306.64, 30,416.76 and 11,537.04 is: 17,281.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,306.64 : 30,416.76 = 11,537.04 : x
  2. Step 2: Convert to fraction form
    20,306.64/30,416.76 = 11,537.04/x
  3. Step 3: Cross multiply
    20,306.64x = 30,416.76 × 11,537.04
  4. Step 4: Simplify right side
    20,306.64x = 350,919,376.79
  5. Step 5: Solve for x
    x = 350,919,376.79/20,306.64
  6. Step 6: Final answer
    x = 17,281.02

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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.