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Finding the Fourth Proportional to 12,857.56, 19,288.62 and 4,542.40

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Solution

The fourth proportional to 12,857.56, 19,288.62 and 4,542.40 is: 6,814.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,857.56 : 19,288.62 = 4,542.40 : x
  2. Step 2: Convert to fraction form
    12,857.56/19,288.62 = 4,542.40/x
  3. Step 3: Cross multiply
    12,857.56x = 19,288.62 × 4,542.40
  4. Step 4: Simplify right side
    12,857.56x = 87,616,531.04
  5. Step 5: Solve for x
    x = 87,616,531.04/12,857.56
  6. Step 6: Final answer
    x = 6,814.40

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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.