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Finding the Fourth Proportional to 21,006.40, 31,480.02 and 11,650.72

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Solution

The fourth proportional to 21,006.40, 31,480.02 and 11,650.72 is: 17,459.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,006.40 : 31,480.02 = 11,650.72 : x
  2. Step 2: Convert to fraction form
    21,006.40/31,480.02 = 11,650.72/x
  3. Step 3: Cross multiply
    21,006.40x = 31,480.02 × 11,650.72
  4. Step 4: Simplify right side
    21,006.40x = 366,764,898.61
  5. Step 5: Solve for x
    x = 366,764,898.61/21,006.40
  6. Step 6: Final answer
    x = 17,459.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.