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Finding the Fourth Proportional to 13,914.65, 19,203.28 and 7,946.57

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Solution

The fourth proportional to 13,914.65, 19,203.28 and 7,946.57 is: 10,966.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,914.65 : 19,203.28 = 7,946.57 : x
  2. Step 2: Convert to fraction form
    13,914.65/19,203.28 = 7,946.57/x
  3. Step 3: Cross multiply
    13,914.65x = 19,203.28 × 7,946.57
  4. Step 4: Simplify right side
    13,914.65x = 152,600,236.89
  5. Step 5: Solve for x
    x = 152,600,236.89/13,914.65
  6. Step 6: Final answer
    x = 10,966.87

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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.