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Finding the Fourth Proportional to 25,881.48, 35,714.43 and 14,548.86

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Solution

The fourth proportional to 25,881.48, 35,714.43 and 14,548.86 is: 20,076.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,881.48 : 35,714.43 = 14,548.86 : x
  2. Step 2: Convert to fraction form
    25,881.48/35,714.43 = 14,548.86/x
  3. Step 3: Cross multiply
    25,881.48x = 35,714.43 × 14,548.86
  4. Step 4: Simplify right side
    25,881.48x = 519,604,242.05
  5. Step 5: Solve for x
    x = 519,604,242.05/25,881.48
  6. Step 6: Final answer
    x = 20,076.30

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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.