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Finding the Fourth Proportional to 12,538.70, 18,810.24 and 4,218.77

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Solution

The fourth proportional to 12,538.70, 18,810.24 and 4,218.77 is: 6,328.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,538.70 : 18,810.24 = 4,218.77 : x
  2. Step 2: Convert to fraction form
    12,538.70/18,810.24 = 4,218.77/x
  3. Step 3: Cross multiply
    12,538.70x = 18,810.24 × 4,218.77
  4. Step 4: Simplify right side
    12,538.70x = 79,356,025.33
  5. Step 5: Solve for x
    x = 79,356,025.33/12,538.70
  6. Step 6: Final answer
    x = 6,328.89

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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.