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Finding the Fourth Proportional to 13,793.76, 19,029.06 and 9,320.40

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Solution

The fourth proportional to 13,793.76, 19,029.06 and 9,320.40 is: 12,857.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,793.76 : 19,029.06 = 9,320.40 : x
  2. Step 2: Convert to fraction form
    13,793.76/19,029.06 = 9,320.40/x
  3. Step 3: Cross multiply
    13,793.76x = 19,029.06 × 9,320.40
  4. Step 4: Simplify right side
    13,793.76x = 177,358,450.82
  5. Step 5: Solve for x
    x = 177,358,450.82/13,793.76
  6. Step 6: Final answer
    x = 12,857.88

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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.