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Finding the Fourth Proportional to 14,124, 21,186.18 and 5,801.88

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Solution

The fourth proportional to 14,124, 21,186.18 and 5,801.88 is: 8,702.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,124 : 21,186.18 = 5,801.88 : x
  2. Step 2: Convert to fraction form
    14,124/21,186.18 = 5,801.88/x
  3. Step 3: Cross multiply
    14,124x = 21,186.18 × 5,801.88
  4. Step 4: Simplify right side
    14,124x = 122,919,674.02
  5. Step 5: Solve for x
    x = 122,919,674.02/14,124
  6. Step 6: Final answer
    x = 8,702.89

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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.