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Finding the Fourth Proportional to 34,306.40, 51,459.60 and 9,682.40

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Solution

The fourth proportional to 34,306.40, 51,459.60 and 9,682.40 is: 14,523.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,306.40 : 51,459.60 = 9,682.40 : x
  2. Step 2: Convert to fraction form
    34,306.40/51,459.60 = 9,682.40/x
  3. Step 3: Cross multiply
    34,306.40x = 51,459.60 × 9,682.40
  4. Step 4: Simplify right side
    34,306.40x = 498,252,431.04
  5. Step 5: Solve for x
    x = 498,252,431.04/34,306.40
  6. Step 6: Final answer
    x = 14,523.60

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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.