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Finding the Fourth Proportional to 12,284.44, 18,430.98 and 5,358.04

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Solution

The fourth proportional to 12,284.44, 18,430.98 and 5,358.04 is: 8,038.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,284.44 : 18,430.98 = 5,358.04 : x
  2. Step 2: Convert to fraction form
    12,284.44/18,430.98 = 5,358.04/x
  3. Step 3: Cross multiply
    12,284.44x = 18,430.98 × 5,358.04
  4. Step 4: Simplify right side
    12,284.44x = 98,753,928.08
  5. Step 5: Solve for x
    x = 98,753,928.08/12,284.44
  6. Step 6: Final answer
    x = 8,038.94

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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.