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Finding the Fourth Proportional to 20,518.76, 30,753.84 and 9,416.09

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Solution

The fourth proportional to 20,518.76, 30,753.84 and 9,416.09 is: 14,112.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,518.76 : 30,753.84 = 9,416.09 : x
  2. Step 2: Convert to fraction form
    20,518.76/30,753.84 = 9,416.09/x
  3. Step 3: Cross multiply
    20,518.76x = 30,753.84 × 9,416.09
  4. Step 4: Simplify right side
    20,518.76x = 289,580,925.29
  5. Step 5: Solve for x
    x = 289,580,925.29/20,518.76
  6. Step 6: Final answer
    x = 14,112.98

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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.