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Finding the Fourth Proportional to 16,288.75, 24,421.92 and 6,429.16

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Solution

The fourth proportional to 16,288.75, 24,421.92 and 6,429.16 is: 9,639.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,288.75 : 24,421.92 = 6,429.16 : x
  2. Step 2: Convert to fraction form
    16,288.75/24,421.92 = 6,429.16/x
  3. Step 3: Cross multiply
    16,288.75x = 24,421.92 × 6,429.16
  4. Step 4: Simplify right side
    16,288.75x = 157,012,431.19
  5. Step 5: Solve for x
    x = 157,012,431.19/16,288.75
  6. Step 6: Final answer
    x = 9,639.32

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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.