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Finding the Fourth Proportional to 25,915.02, 38,866.05 and 7,447.02

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Solution

The fourth proportional to 25,915.02, 38,866.05 and 7,447.02 is: 11,168.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,915.02 : 38,866.05 = 7,447.02 : x
  2. Step 2: Convert to fraction form
    25,915.02/38,866.05 = 7,447.02/x
  3. Step 3: Cross multiply
    25,915.02x = 38,866.05 × 7,447.02
  4. Step 4: Simplify right side
    25,915.02x = 289,436,251.67
  5. Step 5: Solve for x
    x = 289,436,251.67/25,915.02
  6. Step 6: Final answer
    x = 11,168.67

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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.