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Finding the Fourth Proportional to 25,638.42, 38,460.03 and 9,623.67

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Solution

The fourth proportional to 25,638.42, 38,460.03 and 9,623.67 is: 14,436.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,638.42 : 38,460.03 = 9,623.67 : x
  2. Step 2: Convert to fraction form
    25,638.42/38,460.03 = 9,623.67/x
  3. Step 3: Cross multiply
    25,638.42x = 38,460.03 × 9,623.67
  4. Step 4: Simplify right side
    25,638.42x = 370,126,636.91
  5. Step 5: Solve for x
    x = 370,126,636.91/25,638.42
  6. Step 6: Final answer
    x = 14,436.41

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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.