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Finding the Fourth Proportional to 25,897.40, 38,846.14 and 11,096.72

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Solution

The fourth proportional to 25,897.40, 38,846.14 and 11,096.72 is: 16,645.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,897.40 : 38,846.14 = 11,096.72 : x
  2. Step 2: Convert to fraction form
    25,897.40/38,846.14 = 11,096.72/x
  3. Step 3: Cross multiply
    25,897.40x = 38,846.14 × 11,096.72
  4. Step 4: Simplify right side
    25,897.40x = 431,064,738.66
  5. Step 5: Solve for x
    x = 431,064,738.66/25,897.40
  6. Step 6: Final answer
    x = 16,645.10

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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.