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Finding the Fourth Proportional to 25,475.80, 38,213.70 and 19,643.80

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Solution

The fourth proportional to 25,475.80, 38,213.70 and 19,643.80 is: 29,465.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,475.80 : 38,213.70 = 19,643.80 : x
  2. Step 2: Convert to fraction form
    25,475.80/38,213.70 = 19,643.80/x
  3. Step 3: Cross multiply
    25,475.80x = 38,213.70 × 19,643.80
  4. Step 4: Simplify right side
    25,475.80x = 750,662,280.06
  5. Step 5: Solve for x
    x = 750,662,280.06/25,475.80
  6. Step 6: Final answer
    x = 29,465.70

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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.