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Finding the Fourth Proportional to 13,681.93, 18,882.21 and 7,714.83

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Solution

The fourth proportional to 13,681.93, 18,882.21 and 7,714.83 is: 10,647.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,681.93 : 18,882.21 = 7,714.83 : x
  2. Step 2: Convert to fraction form
    13,681.93/18,882.21 = 7,714.83/x
  3. Step 3: Cross multiply
    13,681.93x = 18,882.21 × 7,714.83
  4. Step 4: Simplify right side
    13,681.93x = 145,673,096.52
  5. Step 5: Solve for x
    x = 145,673,096.52/13,681.93
  6. Step 6: Final answer
    x = 10,647.12

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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.