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Finding the Fourth Proportional to 12,884.08, 17,780.12 and 7,219.04

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Solution

The fourth proportional to 12,884.08, 17,780.12 and 7,219.04 is: 9,962.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,884.08 : 17,780.12 = 7,219.04 : x
  2. Step 2: Convert to fraction form
    12,884.08/17,780.12 = 7,219.04/x
  3. Step 3: Cross multiply
    12,884.08x = 17,780.12 × 7,219.04
  4. Step 4: Simplify right side
    12,884.08x = 128,355,397.48
  5. Step 5: Solve for x
    x = 128,355,397.48/12,884.08
  6. Step 6: Final answer
    x = 9,962.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.