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Finding the Fourth Proportional to 15,186.24, 20,850 and 14,264.64

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Solution

The fourth proportional to 15,186.24, 20,850 and 14,264.64 is: 19,584.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,186.24 : 20,850 = 14,264.64 : x
  2. Step 2: Convert to fraction form
    15,186.24/20,850 = 14,264.64/x
  3. Step 3: Cross multiply
    15,186.24x = 20,850 × 14,264.64
  4. Step 4: Simplify right side
    15,186.24x = 297,417,744
  5. Step 5: Solve for x
    x = 297,417,744/15,186.24
  6. Step 6: Final answer
    x = 19,584.69

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.