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Finding the Fourth Proportional to 12,473.24, 18,709.80 and 5,075.94

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Solution

The fourth proportional to 12,473.24, 18,709.80 and 5,075.94 is: 7,613.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,473.24 : 18,709.80 = 5,075.94 : x
  2. Step 2: Convert to fraction form
    12,473.24/18,709.80 = 5,075.94/x
  3. Step 3: Cross multiply
    12,473.24x = 18,709.80 × 5,075.94
  4. Step 4: Simplify right side
    12,473.24x = 94,969,822.21
  5. Step 5: Solve for x
    x = 94,969,822.21/12,473.24
  6. Step 6: Final answer
    x = 7,613.89

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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.