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Finding the Fourth Proportional to 14,266.25, 21,381.84 and 8,013.12

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Solution

The fourth proportional to 14,266.25, 21,381.84 and 8,013.12 is: 12,009.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,266.25 : 21,381.84 = 8,013.12 : x
  2. Step 2: Convert to fraction form
    14,266.25/21,381.84 = 8,013.12/x
  3. Step 3: Cross multiply
    14,266.25x = 21,381.84 × 8,013.12
  4. Step 4: Simplify right side
    14,266.25x = 171,335,187.07
  5. Step 5: Solve for x
    x = 171,335,187.07/14,266.25
  6. Step 6: Final answer
    x = 12,009.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.