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Finding the Fourth Proportional to 16,306.40, 22,503.36 and 9,232.67

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Solution

The fourth proportional to 16,306.40, 22,503.36 and 9,232.67 is: 12,741.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,306.40 : 22,503.36 = 9,232.67 : x
  2. Step 2: Convert to fraction form
    16,306.40/22,503.36 = 9,232.67/x
  3. Step 3: Cross multiply
    16,306.40x = 22,503.36 × 9,232.67
  4. Step 4: Simplify right side
    16,306.40x = 207,765,984.25
  5. Step 5: Solve for x
    x = 207,765,984.25/16,306.40
  6. Step 6: Final answer
    x = 12,741.38

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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.