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Finding the Fourth Proportional to 16,307.30, 22,504.02 and 9,233.84

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Solution

The fourth proportional to 16,307.30, 22,504.02 and 9,233.84 is: 12,742.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,307.30 : 22,504.02 = 9,233.84 : x
  2. Step 2: Convert to fraction form
    16,307.30/22,504.02 = 9,233.84/x
  3. Step 3: Cross multiply
    16,307.30x = 22,504.02 × 9,233.84
  4. Step 4: Simplify right side
    16,307.30x = 207,798,520.04
  5. Step 5: Solve for x
    x = 207,798,520.04/16,307.30
  6. Step 6: Final answer
    x = 12,742.67

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