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Finding the Fourth Proportional to 12,542.59, 18,814.29 and 4,647.10

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Solution

The fourth proportional to 12,542.59, 18,814.29 and 4,647.10 is: 6,970.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,542.59 : 18,814.29 = 4,647.10 : x
  2. Step 2: Convert to fraction form
    12,542.59/18,814.29 = 4,647.10/x
  3. Step 3: Cross multiply
    12,542.59x = 18,814.29 × 4,647.10
  4. Step 4: Simplify right side
    12,542.59x = 87,431,887.06
  5. Step 5: Solve for x
    x = 87,431,887.06/12,542.59
  6. Step 6: Final answer
    x = 6,970.80

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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.