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Finding the Fourth Proportional to 14,642.10, 21,977.73 and 8,071.38

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Solution

The fourth proportional to 14,642.10, 21,977.73 and 8,071.38 is: 12,115.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,642.10 : 21,977.73 = 8,071.38 : x
  2. Step 2: Convert to fraction form
    14,642.10/21,977.73 = 8,071.38/x
  3. Step 3: Cross multiply
    14,642.10x = 21,977.73 × 8,071.38
  4. Step 4: Simplify right side
    14,642.10x = 177,390,610.37
  5. Step 5: Solve for x
    x = 177,390,610.37/14,642.10
  6. Step 6: Final answer
    x = 12,115.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.