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Finding the Fourth Proportional to 13,189.70, 19,746.12 and 6,934.88

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Solution

The fourth proportional to 13,189.70, 19,746.12 and 6,934.88 is: 10,382.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,189.70 : 19,746.12 = 6,934.88 : x
  2. Step 2: Convert to fraction form
    13,189.70/19,746.12 = 6,934.88/x
  3. Step 3: Cross multiply
    13,189.70x = 19,746.12 × 6,934.88
  4. Step 4: Simplify right side
    13,189.70x = 136,936,972.67
  5. Step 5: Solve for x
    x = 136,936,972.67/13,189.70
  6. Step 6: Final answer
    x = 10,382.11

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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.