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Finding the Fourth Proportional to 14,200.80, 21,311.28 and 6,416.16

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Solution

The fourth proportional to 14,200.80, 21,311.28 and 6,416.16 is: 9,628.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,200.80 : 21,311.28 = 6,416.16 : x
  2. Step 2: Convert to fraction form
    14,200.80/21,311.28 = 6,416.16/x
  3. Step 3: Cross multiply
    14,200.80x = 21,311.28 × 6,416.16
  4. Step 4: Simplify right side
    14,200.80x = 136,736,582.28
  5. Step 5: Solve for x
    x = 136,736,582.28/14,200.80
  6. Step 6: Final answer
    x = 9,628.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.