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Finding the Fourth Proportional to 16,402.90, 24,604.70 and 5,309.58

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Solution

The fourth proportional to 16,402.90, 24,604.70 and 5,309.58 is: 7,964.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,402.90 : 24,604.70 = 5,309.58 : x
  2. Step 2: Convert to fraction form
    16,402.90/24,604.70 = 5,309.58/x
  3. Step 3: Cross multiply
    16,402.90x = 24,604.70 × 5,309.58
  4. Step 4: Simplify right side
    16,402.90x = 130,640,623.03
  5. Step 5: Solve for x
    x = 130,640,623.03/16,402.90
  6. Step 6: Final answer
    x = 7,964.48

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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.