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Finding the Fourth Proportional to 12,235.17, 18,352.75 and 3,470.16

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Solution

The fourth proportional to 12,235.17, 18,352.75 and 3,470.16 is: 5,205.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,235.17 : 18,352.75 = 3,470.16 : x
  2. Step 2: Convert to fraction form
    12,235.17/18,352.75 = 3,470.16/x
  3. Step 3: Cross multiply
    12,235.17x = 18,352.75 × 3,470.16
  4. Step 4: Simplify right side
    12,235.17x = 63,686,978.94
  5. Step 5: Solve for x
    x = 63,686,978.94/12,235.17
  6. Step 6: Final answer
    x = 5,205.24

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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.