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Finding the Fourth Proportional to 16,420.60, 24,639.14 and 7,656.20

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Solution

The fourth proportional to 16,420.60, 24,639.14 and 7,656.20 is: 11,488.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,420.60 : 24,639.14 = 7,656.20 : x
  2. Step 2: Convert to fraction form
    16,420.60/24,639.14 = 7,656.20/x
  3. Step 3: Cross multiply
    16,420.60x = 24,639.14 × 7,656.20
  4. Step 4: Simplify right side
    16,420.60x = 188,642,183.67
  5. Step 5: Solve for x
    x = 188,642,183.67/16,420.60
  6. Step 6: Final answer
    x = 11,488.14

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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.