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Finding the Fourth Proportional to 13,312.56, 19,973 and 3,952.62

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Solution

The fourth proportional to 13,312.56, 19,973 and 3,952.62 is: 5,930.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,312.56 : 19,973 = 3,952.62 : x
  2. Step 2: Convert to fraction form
    13,312.56/19,973 = 3,952.62/x
  3. Step 3: Cross multiply
    13,312.56x = 19,973 × 3,952.62
  4. Step 4: Simplify right side
    13,312.56x = 78,945,679.26
  5. Step 5: Solve for x
    x = 78,945,679.26/13,312.56
  6. Step 6: Final answer
    x = 5,930.17

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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.