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Finding the Fourth Proportional to 14,974.80, 22,475.80 and 7,584.40

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Solution

The fourth proportional to 14,974.80, 22,475.80 and 7,584.40 is: 11,383.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,974.80 : 22,475.80 = 7,584.40 : x
  2. Step 2: Convert to fraction form
    14,974.80/22,475.80 = 7,584.40/x
  3. Step 3: Cross multiply
    14,974.80x = 22,475.80 × 7,584.40
  4. Step 4: Simplify right side
    14,974.80x = 170,465,457.52
  5. Step 5: Solve for x
    x = 170,465,457.52/14,974.80
  6. Step 6: Final answer
    x = 11,383.49

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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.