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Finding the Fourth Proportional to 16,920.18, 25,374.78 and 5,824.14

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Solution

The fourth proportional to 16,920.18, 25,374.78 and 5,824.14 is: 8,734.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,920.18 : 25,374.78 = 5,824.14 : x
  2. Step 2: Convert to fraction form
    16,920.18/25,374.78 = 5,824.14/x
  3. Step 3: Cross multiply
    16,920.18x = 25,374.78 × 5,824.14
  4. Step 4: Simplify right side
    16,920.18x = 147,786,271.19
  5. Step 5: Solve for x
    x = 147,786,271.19/16,920.18
  6. Step 6: Final answer
    x = 8,734.32

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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.