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Finding the Fourth Proportional to 25,532.40, 38,298.58 and 8,002.22

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Solution

The fourth proportional to 25,532.40, 38,298.58 and 8,002.22 is: 12,003.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,532.40 : 38,298.58 = 8,002.22 : x
  2. Step 2: Convert to fraction form
    25,532.40/38,298.58 = 8,002.22/x
  3. Step 3: Cross multiply
    25,532.40x = 38,298.58 × 8,002.22
  4. Step 4: Simplify right side
    25,532.40x = 306,473,662.85
  5. Step 5: Solve for x
    x = 306,473,662.85/25,532.40
  6. Step 6: Final answer
    x = 12,003.32

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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.