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Finding the Fourth Proportional to 13,705.20, 18,856.80 and 12,830.40

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Solution

The fourth proportional to 13,705.20, 18,856.80 and 12,830.40 is: 17,653.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,705.20 : 18,856.80 = 12,830.40 : x
  2. Step 2: Convert to fraction form
    13,705.20/18,856.80 = 12,830.40/x
  3. Step 3: Cross multiply
    13,705.20x = 18,856.80 × 12,830.40
  4. Step 4: Simplify right side
    13,705.20x = 241,940,286.72
  5. Step 5: Solve for x
    x = 241,940,286.72/13,705.20
  6. Step 6: Final answer
    x = 17,653.17

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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.