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Finding the Fourth Proportional to 25,713.74, 35,474.82 and 16,148

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Solution

The fourth proportional to 25,713.74, 35,474.82 and 16,148 is: 22,277.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,713.74 : 35,474.82 = 16,148 : x
  2. Step 2: Convert to fraction form
    25,713.74/35,474.82 = 16,148/x
  3. Step 3: Cross multiply
    25,713.74x = 35,474.82 × 16,148
  4. Step 4: Simplify right side
    25,713.74x = 572,847,393.36
  5. Step 5: Solve for x
    x = 572,847,393.36/25,713.74
  6. Step 6: Final answer
    x = 22,277.87

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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.