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Finding the Fourth Proportional to 12,235.76, 18,353.56 and 3,470.68

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Solution

The fourth proportional to 12,235.76, 18,353.56 and 3,470.68 is: 5,206.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,235.76 : 18,353.56 = 3,470.68 : x
  2. Step 2: Convert to fraction form
    12,235.76/18,353.56 = 3,470.68/x
  3. Step 3: Cross multiply
    12,235.76x = 18,353.56 × 3,470.68
  4. Step 4: Simplify right side
    12,235.76x = 63,699,333.62
  5. Step 5: Solve for x
    x = 63,699,333.62/12,235.76
  6. Step 6: Final answer
    x = 5,206.00

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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.