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Finding the Fourth Proportional to 25,760.28, 35,565 and 19,780.32

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Solution

The fourth proportional to 25,760.28, 35,565 and 19,780.32 is: 27,308.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,760.28 : 35,565 = 19,780.32 : x
  2. Step 2: Convert to fraction form
    25,760.28/35,565 = 19,780.32/x
  3. Step 3: Cross multiply
    25,760.28x = 35,565 × 19,780.32
  4. Step 4: Simplify right side
    25,760.28x = 703,487,080.80
  5. Step 5: Solve for x
    x = 703,487,080.80/25,760.28
  6. Step 6: Final answer
    x = 27,308.98

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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.