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Finding the Fourth Proportional to 13,717.41, 18,929.93 and 7,748.97

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Solution

The fourth proportional to 13,717.41, 18,929.93 and 7,748.97 is: 10,693.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,717.41 : 18,929.93 = 7,748.97 : x
  2. Step 2: Convert to fraction form
    13,717.41/18,929.93 = 7,748.97/x
  3. Step 3: Cross multiply
    13,717.41x = 18,929.93 × 7,748.97
  4. Step 4: Simplify right side
    13,717.41x = 146,687,420.93
  5. Step 5: Solve for x
    x = 146,687,420.93/13,717.41
  6. Step 6: Final answer
    x = 10,693.52

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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.