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Finding the Fourth Proportional to 25,948.01, 38,927.49 and 8,416.48

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Solution

The fourth proportional to 25,948.01, 38,927.49 and 8,416.48 is: 12,626.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,948.01 : 38,927.49 = 8,416.48 : x
  2. Step 2: Convert to fraction form
    25,948.01/38,927.49 = 8,416.48/x
  3. Step 3: Cross multiply
    25,948.01x = 38,927.49 × 8,416.48
  4. Step 4: Simplify right side
    25,948.01x = 327,632,204.32
  5. Step 5: Solve for x
    x = 327,632,204.32/25,948.01
  6. Step 6: Final answer
    x = 12,626.49

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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.