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Finding the Fourth Proportional to 25,725.92, 35,500.80 and 14,548.16

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Solution

The fourth proportional to 25,725.92, 35,500.80 and 14,548.16 is: 20,075.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,725.92 : 35,500.80 = 14,548.16 : x
  2. Step 2: Convert to fraction form
    25,725.92/35,500.80 = 14,548.16/x
  3. Step 3: Cross multiply
    25,725.92x = 35,500.80 × 14,548.16
  4. Step 4: Simplify right side
    25,725.92x = 516,471,318.53
  5. Step 5: Solve for x
    x = 516,471,318.53/25,725.92
  6. Step 6: Final answer
    x = 20,075.91

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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.