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Finding the Fourth Proportional to 14,185.27, 19,574.98 and 7,811.72

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Solution

The fourth proportional to 14,185.27, 19,574.98 and 7,811.72 is: 10,779.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,185.27 : 19,574.98 = 7,811.72 : x
  2. Step 2: Convert to fraction form
    14,185.27/19,574.98 = 7,811.72/x
  3. Step 3: Cross multiply
    14,185.27x = 19,574.98 × 7,811.72
  4. Step 4: Simplify right side
    14,185.27x = 152,914,262.77
  5. Step 5: Solve for x
    x = 152,914,262.77/14,185.27
  6. Step 6: Final answer
    x = 10,779.79

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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.