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Finding the Fourth Proportional to 15,767.83, 23,654.66 and 4,522.70

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Solution

The fourth proportional to 15,767.83, 23,654.66 and 4,522.70 is: 6,784.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,767.83 : 23,654.66 = 4,522.70 : x
  2. Step 2: Convert to fraction form
    15,767.83/23,654.66 = 4,522.70/x
  3. Step 3: Cross multiply
    15,767.83x = 23,654.66 × 4,522.70
  4. Step 4: Simplify right side
    15,767.83x = 106,982,930.78
  5. Step 5: Solve for x
    x = 106,982,930.78/15,767.83
  6. Step 6: Final answer
    x = 6,784.89

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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.