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Finding the Fourth Proportional to 16,217.56, 24,329.58 and 5,830.12

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Solution

The fourth proportional to 16,217.56, 24,329.58 and 5,830.12 is: 8,746.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,217.56 : 24,329.58 = 5,830.12 : x
  2. Step 2: Convert to fraction form
    16,217.56/24,329.58 = 5,830.12/x
  3. Step 3: Cross multiply
    16,217.56x = 24,329.58 × 5,830.12
  4. Step 4: Simplify right side
    16,217.56x = 141,844,370.95
  5. Step 5: Solve for x
    x = 141,844,370.95/16,217.56
  6. Step 6: Final answer
    x = 8,746.34

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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.