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Finding the Fourth Proportional to 12,505.84, 17,262.40 and 7,202.76

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Solution

The fourth proportional to 12,505.84, 17,262.40 and 7,202.76 is: 9,942.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,505.84 : 17,262.40 = 7,202.76 : x
  2. Step 2: Convert to fraction form
    12,505.84/17,262.40 = 7,202.76/x
  3. Step 3: Cross multiply
    12,505.84x = 17,262.40 × 7,202.76
  4. Step 4: Simplify right side
    12,505.84x = 124,336,924.22
  5. Step 5: Solve for x
    x = 124,336,924.22/12,505.84
  6. Step 6: Final answer
    x = 9,942.31

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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.