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Finding the Fourth Proportional to 19,988.10, 29,982.15 and 8,302.23

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Solution

The fourth proportional to 19,988.10, 29,982.15 and 8,302.23 is: 12,453.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,988.10 : 29,982.15 = 8,302.23 : x
  2. Step 2: Convert to fraction form
    19,988.10/29,982.15 = 8,302.23/x
  3. Step 3: Cross multiply
    19,988.10x = 29,982.15 × 8,302.23
  4. Step 4: Simplify right side
    19,988.10x = 248,918,705.19
  5. Step 5: Solve for x
    x = 248,918,705.19/19,988.10
  6. Step 6: Final answer
    x = 12,453.35

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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.