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Finding the Fourth Proportional to 25,242.54, 34,834.50 and 13,912.50

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Solution

The fourth proportional to 25,242.54, 34,834.50 and 13,912.50 is: 19,199.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,242.54 : 34,834.50 = 13,912.50 : x
  2. Step 2: Convert to fraction form
    25,242.54/34,834.50 = 13,912.50/x
  3. Step 3: Cross multiply
    25,242.54x = 34,834.50 × 13,912.50
  4. Step 4: Simplify right side
    25,242.54x = 484,634,981.25
  5. Step 5: Solve for x
    x = 484,634,981.25/25,242.54
  6. Step 6: Final answer
    x = 19,199.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.