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Finding the Fourth Proportional to 14,562.40, 21,829.20 and 7,160.80

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Solution

The fourth proportional to 14,562.40, 21,829.20 and 7,160.80 is: 10,734.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,562.40 : 21,829.20 = 7,160.80 : x
  2. Step 2: Convert to fraction form
    14,562.40/21,829.20 = 7,160.80/x
  3. Step 3: Cross multiply
    14,562.40x = 21,829.20 × 7,160.80
  4. Step 4: Simplify right side
    14,562.40x = 156,314,535.36
  5. Step 5: Solve for x
    x = 156,314,535.36/14,562.40
  6. Step 6: Final answer
    x = 10,734.12

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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.