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Finding the Fourth Proportional to 34,571.84, 51,853.44 and 9,613.76

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Solution

The fourth proportional to 34,571.84, 51,853.44 and 9,613.76 is: 14,419.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,571.84 : 51,853.44 = 9,613.76 : x
  2. Step 2: Convert to fraction form
    34,571.84/51,853.44 = 9,613.76/x
  3. Step 3: Cross multiply
    34,571.84x = 51,853.44 × 9,613.76
  4. Step 4: Simplify right side
    34,571.84x = 498,506,527.33
  5. Step 5: Solve for x
    x = 498,506,527.33/34,571.84
  6. Step 6: Final answer
    x = 14,419.44

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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.