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Finding the Fourth Proportional to 25,391.64, 38,096.10 and 13,071

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Solution

The fourth proportional to 25,391.64, 38,096.10 and 13,071 is: 19,610.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,391.64 : 38,096.10 = 13,071 : x
  2. Step 2: Convert to fraction form
    25,391.64/38,096.10 = 13,071/x
  3. Step 3: Cross multiply
    25,391.64x = 38,096.10 × 13,071
  4. Step 4: Simplify right side
    25,391.64x = 497,954,123.10
  5. Step 5: Solve for x
    x = 497,954,123.10/25,391.64
  6. Step 6: Final answer
    x = 19,610.95

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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.