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Finding the Fourth Proportional to 12,235.12, 18,333.51 and 9,468.70

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Solution

The fourth proportional to 12,235.12, 18,333.51 and 9,468.70 is: 14,188.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,235.12 : 18,333.51 = 9,468.70 : x
  2. Step 2: Convert to fraction form
    12,235.12/18,333.51 = 9,468.70/x
  3. Step 3: Cross multiply
    12,235.12x = 18,333.51 × 9,468.70
  4. Step 4: Simplify right side
    12,235.12x = 173,594,506.14
  5. Step 5: Solve for x
    x = 173,594,506.14/12,235.12
  6. Step 6: Final answer
    x = 14,188.21

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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.