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Finding the Fourth Proportional to 19,704.60, 29,551.68 and 7,857.90

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Solution

The fourth proportional to 19,704.60, 29,551.68 and 7,857.90 is: 11,784.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,704.60 : 29,551.68 = 7,857.90 : x
  2. Step 2: Convert to fraction form
    19,704.60/29,551.68 = 7,857.90/x
  3. Step 3: Cross multiply
    19,704.60x = 29,551.68 × 7,857.90
  4. Step 4: Simplify right side
    19,704.60x = 232,214,146.27
  5. Step 5: Solve for x
    x = 232,214,146.27/19,704.60
  6. Step 6: Final answer
    x = 11,784.77

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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.