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Finding the Fourth Proportional to 12,838.64, 17,716.56 and 7,533.04

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Solution

The fourth proportional to 12,838.64, 17,716.56 and 7,533.04 is: 10,395.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,838.64 : 17,716.56 = 7,533.04 : x
  2. Step 2: Convert to fraction form
    12,838.64/17,716.56 = 7,533.04/x
  3. Step 3: Cross multiply
    12,838.64x = 17,716.56 × 7,533.04
  4. Step 4: Simplify right side
    12,838.64x = 133,459,555.14
  5. Step 5: Solve for x
    x = 133,459,555.14/12,838.64
  6. Step 6: Final answer
    x = 10,395.15

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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.