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Finding the Fourth Proportional to 25,102.86, 34,642.35 and 14,493.42

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Solution

The fourth proportional to 25,102.86, 34,642.35 and 14,493.42 is: 20,001.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,102.86 : 34,642.35 = 14,493.42 : x
  2. Step 2: Convert to fraction form
    25,102.86/34,642.35 = 14,493.42/x
  3. Step 3: Cross multiply
    25,102.86x = 34,642.35 × 14,493.42
  4. Step 4: Simplify right side
    25,102.86x = 502,086,128.34
  5. Step 5: Solve for x
    x = 502,086,128.34/25,102.86
  6. Step 6: Final answer
    x = 20,001.15

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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.