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Finding the Fourth Proportional to 12,927.96, 17,841.65 and 7,623.81

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Solution

The fourth proportional to 12,927.96, 17,841.65 and 7,623.81 is: 10,521.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,927.96 : 17,841.65 = 7,623.81 : x
  2. Step 2: Convert to fraction form
    12,927.96/17,841.65 = 7,623.81/x
  3. Step 3: Cross multiply
    12,927.96x = 17,841.65 × 7,623.81
  4. Step 4: Simplify right side
    12,927.96x = 136,021,279.54
  5. Step 5: Solve for x
    x = 136,021,279.54/12,927.96
  6. Step 6: Final answer
    x = 10,521.48

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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.