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Finding the Fourth Proportional to 14,686.37, 20,266.90 and 8,314.17

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Solution

The fourth proportional to 14,686.37, 20,266.90 and 8,314.17 is: 11,473.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,686.37 : 20,266.90 = 8,314.17 : x
  2. Step 2: Convert to fraction form
    14,686.37/20,266.90 = 8,314.17/x
  3. Step 3: Cross multiply
    14,686.37x = 20,266.90 × 8,314.17
  4. Step 4: Simplify right side
    14,686.37x = 168,502,309.07
  5. Step 5: Solve for x
    x = 168,502,309.07/14,686.37
  6. Step 6: Final answer
    x = 11,473.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.