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Finding the Fourth Proportional to 16,435.68, 24,631.44 and 10,589.28

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Solution

The fourth proportional to 16,435.68, 24,631.44 and 10,589.28 is: 15,869.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,435.68 : 24,631.44 = 10,589.28 : x
  2. Step 2: Convert to fraction form
    16,435.68/24,631.44 = 10,589.28/x
  3. Step 3: Cross multiply
    16,435.68x = 24,631.44 × 10,589.28
  4. Step 4: Simplify right side
    16,435.68x = 260,829,214.96
  5. Step 5: Solve for x
    x = 260,829,214.96/16,435.68
  6. Step 6: Final answer
    x = 15,869.69

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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.