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Finding the Fourth Proportional to 17,204.80, 25,774.80 and 8,856.40

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Solution

The fourth proportional to 17,204.80, 25,774.80 and 8,856.40 is: 13,267.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,204.80 : 25,774.80 = 8,856.40 : x
  2. Step 2: Convert to fraction form
    17,204.80/25,774.80 = 8,856.40/x
  3. Step 3: Cross multiply
    17,204.80x = 25,774.80 × 8,856.40
  4. Step 4: Simplify right side
    17,204.80x = 228,271,938.72
  5. Step 5: Solve for x
    x = 228,271,938.72/17,204.80
  6. Step 6: Final answer
    x = 13,267.92

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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.