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Finding the Fourth Proportional to 13,123.98, 19,675.57 and 6,546.78

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Solution

The fourth proportional to 13,123.98, 19,675.57 and 6,546.78 is: 9,814.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,123.98 : 19,675.57 = 6,546.78 : x
  2. Step 2: Convert to fraction form
    13,123.98/19,675.57 = 6,546.78/x
  3. Step 3: Cross multiply
    13,123.98x = 19,675.57 × 6,546.78
  4. Step 4: Simplify right side
    13,123.98x = 128,811,628.16
  5. Step 5: Solve for x
    x = 128,811,628.16/13,123.98
  6. Step 6: Final answer
    x = 9,814.98

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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.