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Finding the Fourth Proportional to 25,708.61, 38,554.66 and 8,174.34

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Solution

The fourth proportional to 25,708.61, 38,554.66 and 8,174.34 is: 12,258.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,708.61 : 38,554.66 = 8,174.34 : x
  2. Step 2: Convert to fraction form
    25,708.61/38,554.66 = 8,174.34/x
  3. Step 3: Cross multiply
    25,708.61x = 38,554.66 × 8,174.34
  4. Step 4: Simplify right side
    25,708.61x = 315,158,899.42
  5. Step 5: Solve for x
    x = 315,158,899.42/25,708.61
  6. Step 6: Final answer
    x = 12,258.89

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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.