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Finding the Fourth Proportional to 13,852.46, 19,116.46 and 7,564.84

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Solution

The fourth proportional to 13,852.46, 19,116.46 and 7,564.84 is: 10,439.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,852.46 : 19,116.46 = 7,564.84 : x
  2. Step 2: Convert to fraction form
    13,852.46/19,116.46 = 7,564.84/x
  3. Step 3: Cross multiply
    13,852.46x = 19,116.46 × 7,564.84
  4. Step 4: Simplify right side
    13,852.46x = 144,612,961.27
  5. Step 5: Solve for x
    x = 144,612,961.27/13,852.46
  6. Step 6: Final answer
    x = 10,439.51

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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.