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Finding the Fourth Proportional to 12,533.17, 17,303.75 and 7,824.37

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Solution

The fourth proportional to 12,533.17, 17,303.75 and 7,824.37 is: 10,802.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,533.17 : 17,303.75 = 7,824.37 : x
  2. Step 2: Convert to fraction form
    12,533.17/17,303.75 = 7,824.37/x
  3. Step 3: Cross multiply
    12,533.17x = 17,303.75 × 7,824.37
  4. Step 4: Simplify right side
    12,533.17x = 135,390,942.39
  5. Step 5: Solve for x
    x = 135,390,942.39/12,533.17
  6. Step 6: Final answer
    x = 10,802.61

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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.