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Finding the Fourth Proportional to 26,384, 39,526.56 and 13,220.96

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Solution

The fourth proportional to 26,384, 39,526.56 and 13,220.96 is: 19,806.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,384 : 39,526.56 = 13,220.96 : x
  2. Step 2: Convert to fraction form
    26,384/39,526.56 = 13,220.96/x
  3. Step 3: Cross multiply
    26,384x = 39,526.56 × 13,220.96
  4. Step 4: Simplify right side
    26,384x = 522,579,068.70
  5. Step 5: Solve for x
    x = 522,579,068.70/26,384
  6. Step 6: Final answer
    x = 19,806.67

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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.