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Finding the Fourth Proportional to 20,536.64, 30,792.67 and 9,985.90

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Solution

The fourth proportional to 20,536.64, 30,792.67 and 9,985.90 is: 14,972.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,536.64 : 30,792.67 = 9,985.90 : x
  2. Step 2: Convert to fraction form
    20,536.64/30,792.67 = 9,985.90/x
  3. Step 3: Cross multiply
    20,536.64x = 30,792.67 × 9,985.90
  4. Step 4: Simplify right side
    20,536.64x = 307,492,523.35
  5. Step 5: Solve for x
    x = 307,492,523.35/20,536.64
  6. Step 6: Final answer
    x = 14,972.87

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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.