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Finding the Fourth Proportional to 12,235, 18,353.42 and 3,470.62

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Solution

The fourth proportional to 12,235, 18,353.42 and 3,470.62 is: 5,206.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,235 : 18,353.42 = 3,470.62 : x
  2. Step 2: Convert to fraction form
    12,235/18,353.42 = 3,470.62/x
  3. Step 3: Cross multiply
    12,235x = 18,353.42 × 3,470.62
  4. Step 4: Simplify right side
    12,235x = 63,697,746.52
  5. Step 5: Solve for x
    x = 63,697,746.52/12,235
  6. Step 6: Final answer
    x = 5,206.19

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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.