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Finding the Fourth Proportional to 14,273.60, 21,400.80 and 6,478.40

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Solution

The fourth proportional to 14,273.60, 21,400.80 and 6,478.40 is: 9,713.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,273.60 : 21,400.80 = 6,478.40 : x
  2. Step 2: Convert to fraction form
    14,273.60/21,400.80 = 6,478.40/x
  3. Step 3: Cross multiply
    14,273.60x = 21,400.80 × 6,478.40
  4. Step 4: Simplify right side
    14,273.60x = 138,642,942.72
  5. Step 5: Solve for x
    x = 138,642,942.72/14,273.60
  6. Step 6: Final answer
    x = 9,713.24

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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.