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Finding the Fourth Proportional to 25,616.10, 38,428.11 and 10,823.70

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Solution

The fourth proportional to 25,616.10, 38,428.11 and 10,823.70 is: 16,237.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,616.10 : 38,428.11 = 10,823.70 : x
  2. Step 2: Convert to fraction form
    25,616.10/38,428.11 = 10,823.70/x
  3. Step 3: Cross multiply
    25,616.10x = 38,428.11 × 10,823.70
  4. Step 4: Simplify right side
    25,616.10x = 415,934,334.21
  5. Step 5: Solve for x
    x = 415,934,334.21/25,616.10
  6. Step 6: Final answer
    x = 16,237.22

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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.