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Finding the Fourth Proportional to 25,638.66, 38,428.56 and 11,758.50

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Solution

The fourth proportional to 25,638.66, 38,428.56 and 11,758.50 is: 17,624.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,638.66 : 38,428.56 = 11,758.50 : x
  2. Step 2: Convert to fraction form
    25,638.66/38,428.56 = 11,758.50/x
  3. Step 3: Cross multiply
    25,638.66x = 38,428.56 × 11,758.50
  4. Step 4: Simplify right side
    25,638.66x = 451,862,222.76
  5. Step 5: Solve for x
    x = 451,862,222.76/25,638.66
  6. Step 6: Final answer
    x = 17,624.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.