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Finding the Fourth Proportional to 13,017.75, 19,510.98 and 5,988.09

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Solution

The fourth proportional to 13,017.75, 19,510.98 and 5,988.09 is: 8,974.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,017.75 : 19,510.98 = 5,988.09 : x
  2. Step 2: Convert to fraction form
    13,017.75/19,510.98 = 5,988.09/x
  3. Step 3: Cross multiply
    13,017.75x = 19,510.98 × 5,988.09
  4. Step 4: Simplify right side
    13,017.75x = 116,833,504.23
  5. Step 5: Solve for x
    x = 116,833,504.23/13,017.75
  6. Step 6: Final answer
    x = 8,974.94

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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.