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Finding the Fourth Proportional to 25,757.94, 38,632.34 and 11,714.66

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Solution

The fourth proportional to 25,757.94, 38,632.34 and 11,714.66 is: 17,569.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,757.94 : 38,632.34 = 11,714.66 : x
  2. Step 2: Convert to fraction form
    25,757.94/38,632.34 = 11,714.66/x
  3. Step 3: Cross multiply
    25,757.94x = 38,632.34 × 11,714.66
  4. Step 4: Simplify right side
    25,757.94x = 452,564,728.10
  5. Step 5: Solve for x
    x = 452,564,728.10/25,757.94
  6. Step 6: Final answer
    x = 17,569.91

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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.