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Finding the Fourth Proportional to 25,305.46, 37,951.23 and 9,509.28

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Solution

The fourth proportional to 25,305.46, 37,951.23 and 9,509.28 is: 14,261.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,305.46 : 37,951.23 = 9,509.28 : x
  2. Step 2: Convert to fraction form
    25,305.46/37,951.23 = 9,509.28/x
  3. Step 3: Cross multiply
    25,305.46x = 37,951.23 × 9,509.28
  4. Step 4: Simplify right side
    25,305.46x = 360,888,872.41
  5. Step 5: Solve for x
    x = 360,888,872.41/25,305.46
  6. Step 6: Final answer
    x = 14,261.30

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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.