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Finding the Fourth Proportional to 14,271.72, 19,694.66 and 7,811.32

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Solution

The fourth proportional to 14,271.72, 19,694.66 and 7,811.32 is: 10,779.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,271.72 : 19,694.66 = 7,811.32 : x
  2. Step 2: Convert to fraction form
    14,271.72/19,694.66 = 7,811.32/x
  3. Step 3: Cross multiply
    14,271.72x = 19,694.66 × 7,811.32
  4. Step 4: Simplify right side
    14,271.72x = 153,841,286.88
  5. Step 5: Solve for x
    x = 153,841,286.88/14,271.72
  6. Step 6: Final answer
    x = 10,779.45

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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.