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Finding the Fourth Proportional to 13,852.26, 19,116 and 7,564.64

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Solution

The fourth proportional to 13,852.26, 19,116 and 7,564.64 is: 10,439.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,852.26 : 19,116 = 7,564.64 : x
  2. Step 2: Convert to fraction form
    13,852.26/19,116 = 7,564.64/x
  3. Step 3: Cross multiply
    13,852.26x = 19,116 × 7,564.64
  4. Step 4: Simplify right side
    13,852.26x = 144,605,562.66
  5. Step 5: Solve for x
    x = 144,605,562.66/13,852.26
  6. Step 6: Final answer
    x = 10,439.13

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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.