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Finding the Fourth Proportional to 14,534.64, 20,058.84 and 8,247.42

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Solution

The fourth proportional to 14,534.64, 20,058.84 and 8,247.42 is: 11,382.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,534.64 : 20,058.84 = 8,247.42 : x
  2. Step 2: Convert to fraction form
    14,534.64/20,058.84 = 8,247.42/x
  3. Step 3: Cross multiply
    14,534.64x = 20,058.84 × 8,247.42
  4. Step 4: Simplify right side
    14,534.64x = 165,433,678.19
  5. Step 5: Solve for x
    x = 165,433,678.19/14,534.64
  6. Step 6: Final answer
    x = 11,382.03

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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.