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Finding the Fourth Proportional to 12,971.92, 17,894.72 and 8,503.20

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Solution

The fourth proportional to 12,971.92, 17,894.72 and 8,503.20 is: 11,730.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,971.92 : 17,894.72 = 8,503.20 : x
  2. Step 2: Convert to fraction form
    12,971.92/17,894.72 = 8,503.20/x
  3. Step 3: Cross multiply
    12,971.92x = 17,894.72 × 8,503.20
  4. Step 4: Simplify right side
    12,971.92x = 152,162,383.10
  5. Step 5: Solve for x
    x = 152,162,383.10/12,971.92
  6. Step 6: Final answer
    x = 11,730.14

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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.