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Finding the Fourth Proportional to 14,617.20, 21,915 and 12,141.84

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Solution

The fourth proportional to 14,617.20, 21,915 and 12,141.84 is: 18,203.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,617.20 : 21,915 = 12,141.84 : x
  2. Step 2: Convert to fraction form
    14,617.20/21,915 = 12,141.84/x
  3. Step 3: Cross multiply
    14,617.20x = 21,915 × 12,141.84
  4. Step 4: Simplify right side
    14,617.20x = 266,088,423.60
  5. Step 5: Solve for x
    x = 266,088,423.60/14,617.20
  6. Step 6: Final answer
    x = 18,203.79

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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.