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Finding the Fourth Proportional to 25,906, 38,871.30 and 11,119.15

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Solution

The fourth proportional to 25,906, 38,871.30 and 11,119.15 is: 16,684.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,906 : 38,871.30 = 11,119.15 : x
  2. Step 2: Convert to fraction form
    25,906/38,871.30 = 11,119.15/x
  3. Step 3: Cross multiply
    25,906x = 38,871.30 × 11,119.15
  4. Step 4: Simplify right side
    25,906x = 432,215,815.40
  5. Step 5: Solve for x
    x = 432,215,815.40/25,906
  6. Step 6: Final answer
    x = 16,684.00

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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.