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Finding the Fourth Proportional to 13,123.74, 19,675.20 and 6,546.54

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Solution

The fourth proportional to 13,123.74, 19,675.20 and 6,546.54 is: 9,814.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,123.74 : 19,675.20 = 6,546.54 : x
  2. Step 2: Convert to fraction form
    13,123.74/19,675.20 = 6,546.54/x
  3. Step 3: Cross multiply
    13,123.74x = 19,675.20 × 6,546.54
  4. Step 4: Simplify right side
    13,123.74x = 128,804,483.81
  5. Step 5: Solve for x
    x = 128,804,483.81/13,123.74
  6. Step 6: Final answer
    x = 9,814.62

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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.