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Finding the Fourth Proportional to 14,562.60, 21,839.10 and 5,327.40

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Solution

The fourth proportional to 14,562.60, 21,839.10 and 5,327.40 is: 7,989.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,562.60 : 21,839.10 = 5,327.40 : x
  2. Step 2: Convert to fraction form
    14,562.60/21,839.10 = 5,327.40/x
  3. Step 3: Cross multiply
    14,562.60x = 21,839.10 × 5,327.40
  4. Step 4: Simplify right side
    14,562.60x = 116,345,621.34
  5. Step 5: Solve for x
    x = 116,345,621.34/14,562.60
  6. Step 6: Final answer
    x = 7,989.34

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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.