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Finding the Fourth Proportional to 20,700.62, 31,026.63 and 9,583.82

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Solution

The fourth proportional to 20,700.62, 31,026.63 and 9,583.82 is: 14,364.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,700.62 : 31,026.63 = 9,583.82 : x
  2. Step 2: Convert to fraction form
    20,700.62/31,026.63 = 9,583.82/x
  3. Step 3: Cross multiply
    20,700.62x = 31,026.63 × 9,583.82
  4. Step 4: Simplify right side
    20,700.62x = 297,353,754.90
  5. Step 5: Solve for x
    x = 297,353,754.90/20,700.62
  6. Step 6: Final answer
    x = 14,364.49

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Why These Related Problems?

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