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Finding the Fourth Proportional to 34,206.60, 51,304.77 and 10,830

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Solution

The fourth proportional to 34,206.60, 51,304.77 and 10,830 is: 16,243.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,206.60 : 51,304.77 = 10,830 : x
  2. Step 2: Convert to fraction form
    34,206.60/51,304.77 = 10,830/x
  3. Step 3: Cross multiply
    34,206.60x = 51,304.77 × 10,830
  4. Step 4: Simplify right side
    34,206.60x = 555,630,659.10
  5. Step 5: Solve for x
    x = 555,630,659.10/34,206.60
  6. Step 6: Final answer
    x = 16,243.38

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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.