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Finding the Fourth Proportional to 34,771.74, 52,154.22 and 9,811.40

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Solution

The fourth proportional to 34,771.74, 52,154.22 and 9,811.40 is: 14,716.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,771.74 : 52,154.22 = 9,811.40 : x
  2. Step 2: Convert to fraction form
    34,771.74/52,154.22 = 9,811.40/x
  3. Step 3: Cross multiply
    34,771.74x = 52,154.22 × 9,811.40
  4. Step 4: Simplify right side
    34,771.74x = 511,705,914.11
  5. Step 5: Solve for x
    x = 511,705,914.11/34,771.74
  6. Step 6: Final answer
    x = 14,716.14

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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.