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Finding the Fourth Proportional to 13,123.56, 19,679.64 and 5,117.16

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Solution

The fourth proportional to 13,123.56, 19,679.64 and 5,117.16 is: 7,673.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,123.56 : 19,679.64 = 5,117.16 : x
  2. Step 2: Convert to fraction form
    13,123.56/19,679.64 = 5,117.16/x
  3. Step 3: Cross multiply
    13,123.56x = 19,679.64 × 5,117.16
  4. Step 4: Simplify right side
    13,123.56x = 100,703,866.62
  5. Step 5: Solve for x
    x = 100,703,866.62/13,123.56
  6. Step 6: Final answer
    x = 7,673.52

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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.