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Finding the Fourth Proportional to 25,092.86, 37,644.14 and 9,521.42

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Solution

The fourth proportional to 25,092.86, 37,644.14 and 9,521.42 is: 14,283.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,092.86 : 37,644.14 = 9,521.42 : x
  2. Step 2: Convert to fraction form
    25,092.86/37,644.14 = 9,521.42/x
  3. Step 3: Cross multiply
    25,092.86x = 37,644.14 × 9,521.42
  4. Step 4: Simplify right side
    25,092.86x = 358,425,503.06
  5. Step 5: Solve for x
    x = 358,425,503.06/25,092.86
  6. Step 6: Final answer
    x = 14,283.97

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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.