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Finding the Fourth Proportional to 14,373.64, 19,835.42 and 8,086

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Solution

The fourth proportional to 14,373.64, 19,835.42 and 8,086 is: 11,158.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,373.64 : 19,835.42 = 8,086 : x
  2. Step 2: Convert to fraction form
    14,373.64/19,835.42 = 8,086/x
  3. Step 3: Cross multiply
    14,373.64x = 19,835.42 × 8,086
  4. Step 4: Simplify right side
    14,373.64x = 160,389,206.12
  5. Step 5: Solve for x
    x = 160,389,206.12/14,373.64
  6. Step 6: Final answer
    x = 11,158.57

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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.