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Finding the Fourth Proportional to 12,927.72, 17,838.72 and 7,262.76

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Solution

The fourth proportional to 12,927.72, 17,838.72 and 7,262.76 is: 10,021.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,927.72 : 17,838.72 = 7,262.76 : x
  2. Step 2: Convert to fraction form
    12,927.72/17,838.72 = 7,262.76/x
  3. Step 3: Cross multiply
    12,927.72x = 17,838.72 × 7,262.76
  4. Step 4: Simplify right side
    12,927.72x = 129,558,342.07
  5. Step 5: Solve for x
    x = 129,558,342.07/12,927.72
  6. Step 6: Final answer
    x = 10,021.75

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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.