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Finding the Fourth Proportional to 13,098.40, 19,647.11 and 5,702.87

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Solution

The fourth proportional to 13,098.40, 19,647.11 and 5,702.87 is: 8,554.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,098.40 : 19,647.11 = 5,702.87 : x
  2. Step 2: Convert to fraction form
    13,098.40/19,647.11 = 5,702.87/x
  3. Step 3: Cross multiply
    13,098.40x = 19,647.11 × 5,702.87
  4. Step 4: Simplify right side
    13,098.40x = 112,044,914.21
  5. Step 5: Solve for x
    x = 112,044,914.21/13,098.40
  6. Step 6: Final answer
    x = 8,554.09

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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.