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Finding the Fourth Proportional to 20,941.76, 31,412.64 and 7,100.48

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Solution

The fourth proportional to 20,941.76, 31,412.64 and 7,100.48 is: 10,650.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,941.76 : 31,412.64 = 7,100.48 : x
  2. Step 2: Convert to fraction form
    20,941.76/31,412.64 = 7,100.48/x
  3. Step 3: Cross multiply
    20,941.76x = 31,412.64 × 7,100.48
  4. Step 4: Simplify right side
    20,941.76x = 223,044,822.07
  5. Step 5: Solve for x
    x = 223,044,822.07/20,941.76
  6. Step 6: Final answer
    x = 10,650.72

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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.