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Finding the Fourth Proportional to 14,717.64, 20,311.48 and 8,430.14

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Solution

The fourth proportional to 14,717.64, 20,311.48 and 8,430.14 is: 11,634.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,717.64 : 20,311.48 = 8,430.14 : x
  2. Step 2: Convert to fraction form
    14,717.64/20,311.48 = 8,430.14/x
  3. Step 3: Cross multiply
    14,717.64x = 20,311.48 × 8,430.14
  4. Step 4: Simplify right side
    14,717.64x = 171,228,620.01
  5. Step 5: Solve for x
    x = 171,228,620.01/14,717.64
  6. Step 6: Final answer
    x = 11,634.24

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