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Finding the Fourth Proportional to 13,012.70, 19,516.13 and 5,985.97

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Solution

The fourth proportional to 13,012.70, 19,516.13 and 5,985.97 is: 8,977.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,012.70 : 19,516.13 = 5,985.97 : x
  2. Step 2: Convert to fraction form
    13,012.70/19,516.13 = 5,985.97/x
  3. Step 3: Cross multiply
    13,012.70x = 19,516.13 × 5,985.97
  4. Step 4: Simplify right side
    13,012.70x = 116,822,871.12
  5. Step 5: Solve for x
    x = 116,822,871.12/13,012.70
  6. Step 6: Final answer
    x = 8,977.60

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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.