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Finding the Fourth Proportional to 14,539.20, 21,813.76 and 4,678.80

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Solution

The fourth proportional to 14,539.20, 21,813.76 and 4,678.80 is: 7,019.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,539.20 : 21,813.76 = 4,678.80 : x
  2. Step 2: Convert to fraction form
    14,539.20/21,813.76 = 4,678.80/x
  3. Step 3: Cross multiply
    14,539.20x = 21,813.76 × 4,678.80
  4. Step 4: Simplify right side
    14,539.20x = 102,062,220.29
  5. Step 5: Solve for x
    x = 102,062,220.29/14,539.20
  6. Step 6: Final answer
    x = 7,019.80

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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.