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Finding the Fourth Proportional to 13,915.83, 19,202.79 and 7,946.69

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Solution

The fourth proportional to 13,915.83, 19,202.79 and 7,946.69 is: 10,965.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,915.83 : 19,202.79 = 7,946.69 : x
  2. Step 2: Convert to fraction form
    13,915.83/19,202.79 = 7,946.69/x
  3. Step 3: Cross multiply
    13,915.83x = 19,202.79 × 7,946.69
  4. Step 4: Simplify right side
    13,915.83x = 152,598,619.27
  5. Step 5: Solve for x
    x = 152,598,619.27/13,915.83
  6. Step 6: Final answer
    x = 10,965.83

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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.